Volodymyr Mazorchuk
Professor at Department of Mathematics; Academic staff
- Telephone:
- +46 18 471 32 84
- E-mail:
- volodymyr.mazorchuk@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 524
751 20 UPPSALA
Download contact information for Volodymyr Mazorchuk at Department of Mathematics; Academic staff
Professor at Department of Mathematics; Algebra, Logic and Representation Theory
- Telephone:
- +46 18 471 32 84
- E-mail:
- Volodymyr.Mazorchuk@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 524
751 20 UPPSALA

Publications
Recent publications
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Consecutive patterns, Kostant's problem and type A6
Part of International Journal of Algebra and Computation, p. 317-356, 2026
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A stability phenomenon in Kazhdan-Lusztig combinatorics
Part of Manuscripta mathematica, 2026
- DOI for A stability phenomenon in Kazhdan-Lusztig combinatorics
- Download full text (pdf) of A stability phenomenon in Kazhdan-Lusztig combinatorics
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Kostant's problem for parabolic Verma modules
Part of Proceedings of the Edinburgh Mathematical Society, p. 594-615, 2025
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Part of Journal of Pure and Applied Algebra, 2025
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KRONECKER COEFFICIENTS FOR (DUAL) SYMMETRIC INVERSE SEMIGROUPS
Part of Journal of the Australian Mathematical Society, p. 65-90, 2025
All publications
Articles in journal
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Consecutive patterns, Kostant's problem and type A6
Part of International Journal of Algebra and Computation, p. 317-356, 2026
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A stability phenomenon in Kazhdan-Lusztig combinatorics
Part of Manuscripta mathematica, 2026
- DOI for A stability phenomenon in Kazhdan-Lusztig combinatorics
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Kostant's problem for parabolic Verma modules
Part of Proceedings of the Edinburgh Mathematical Society, p. 594-615, 2025
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Part of Journal of Pure and Applied Algebra, 2025
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KRONECKER COEFFICIENTS FOR (DUAL) SYMMETRIC INVERSE SEMIGROUPS
Part of Journal of the Australian Mathematical Society, p. 65-90, 2025
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Some homological properties of category O, VII
Part of Advances in Mathematics, 2025
- DOI for Some homological properties of category O, VII
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Graded extensions of Verma modules
Part of Mathematical proceedings of the Cambridge Philosophical Society (Print), p. 285-311, 2024
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Join operation for the Bruhat order and Verma modules
Part of Israel Journal of Mathematics, p. 627-691, 2024
- DOI for Join operation for the Bruhat order and Verma modules
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Simple modules for untwisted affine Lie algebras induced from nilpotent loop subalgebras
Part of Indagationes mathematicae, p. 1138-1148, 2024
- DOI for Simple modules for untwisted affine Lie algebras induced from nilpotent loop subalgebras
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Multiparameter colored partition category and the product of the reduced Kronecker coefficients
Part of Journal of Pure and Applied Algebra, 2024
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Applying projective functors to arbitrary holonomic simple modules
Part of Journal of the London Mathematical Society, 2024
- DOI for Applying projective functors to arbitrary holonomic simple modules
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Kostant's problem for fully commutative permutations
Part of Revista matemática iberoamericana, p. 537-563, 2024
- DOI for Kostant's problem for fully commutative permutations
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Tonal partition algebras: fundamental and geometrical aspects of representation theory
Part of Communications in Algebra, p. 233-271, 2024
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Finite quotients of singular artin monoids and categorification of the desingularization map
Part of Journal of the Korean Mathematical Society, p. 1255-1302, 2023
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Part of Communications in Mathematical Physics, p. 717-768, 2023
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Simple transitive 2-representations of Soergel bimodules for finite Coxeter types
Part of Proceedings of the London Mathematical Society, p. 1585-1655, 2023
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2-representations of small quotients of Soergel bimodules in infinite types
Part of Proceedings of the American Mathematical Society, p. 2277-2290, 2023
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Some Homological Properties of Category O, V
Part of International mathematics research notices, p. 3329-3373, 2023
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Some Homological Properties of Category O for Lie Superalgebras
Part of Journal of the Australian Mathematical Society, p. 50-77, 2023
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INTERSECTING PRINCIPAL BRUHAT IDEALS AND GRADES OF SIMPLE MODULES
Part of COMBINATORIAL THEORY, 2022
- DOI for INTERSECTING PRINCIPAL BRUHAT IDEALS AND GRADES OF SIMPLE MODULES
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Adjunction in the Absence of Identity
Part of Applied Categorical Structures, p. 123-172, 2022
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Essential orders on stratified algebras with duality and S-subcategories in O
Part of Journal of Pure and Applied Algebra, 2022
- DOI for Essential orders on stratified algebras with duality and S-subcategories in O
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sl(2)-Harish-Chandra modules for sl(2)⋉L(4)
Part of Journal of Mathematical Physics, 2022
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LIE ALGEBRA MODULES WHICH ARE LOCALLY FINITE AND WITH FINITE MULTIPLICITIES OVER THE SEMISIMPLE PART
Part of Nagoya mathematical journal, p. 430-470, 2022
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Harish-chandra modules over invariant subalgebras in a skew-group ring
Part of Asian Journal of Mathematics, p. 431-454, 2021
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Bigrassmannian permutations and Verma modules
Part of Selecta Mathematica, New Series, 2021
- DOI for Bigrassmannian permutations and Verma modules
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On the number of principal ideals in d-tonal partition monoids
Part of Annals of Combinatorics, p. 79-113, 2021
- DOI for On the number of principal ideals in d-tonal partition monoids
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Finitary birepresentations of finitary bicategories
Part of Forum mathematicum, p. 1261-1320, 2021
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Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras
Part of Mathematische Zeitschrift, p. 255-281, 2021
- DOI for Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras
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Simple supermodules over lie superalgebras
Part of Transactions of the American Mathematical Society, p. 899-921, 2021
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SOME HOMOLOGICAL PROPERTIES OF CATEGORY O. VI
Part of Documenta Mathematica, p. 1237-1269, 2021
- DOI for SOME HOMOLOGICAL PROPERTIES OF CATEGORY O. VI
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Canonical Gelfand-Zeitlin Modules over Orthogonal Gelfand-Zeitlin Algebras
Part of International mathematics research notices, p. 6947-6966, 2020
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2-categories of symmetric bimodules and their 2-representations
Part of Pacific Journal of Mathematics, p. 645-678, 2020
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Pyramids and 2-representations
Part of Revista matemática iberoamericana, p. 387-405, 2020
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Bimodules over uniformly oriented An quivers with radical square zero
Part of Kyoto Journal of Mathematics, p. 965-995, 2020
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ANALOGUES OF CENTRALIZER SUBALGEBRAS FOR FIAT 2-CATEGORIES AND THEIR 2-REPRESENTATIONS
Part of Journal of the Institute of Mathematics of Jussieu, p. 1793-1829, 2020
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Part of Fundamenta Mathematicae, p. 219-300, 2020
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BGG complexes in singular blocks of category O
Part of Journal of Pure and Applied Algebra, 2020
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Indecomposable manipulations with simple modules in category O
Part of Mathematical Research Letters, p. 447-499, 2019
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Characterisation And Applications Of κ-Split Bimodules
Part of Mathematica Scandinavica, p. 161-178, 2019
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Part of Journal of Mathematical Physics, 2019
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Simple Transitive 2-Representations for Two Nonfiat 2-Categories of Projective Functors
Part of Ukrainian Mathematical Journal, p. 1873-1900, 2019
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Simple transitive 2-representations of small quotients of Soergel bimodules
Part of Transactions of the American Mathematical Society, p. 5551-5590, 2019
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Simple Transitive 2-Representations via (Co-)Algebra 1-Morphisms
Part of Indiana University Mathematics Journal, p. 1-33, 2019
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Diagrams and discrete extensions for finitary 2-representations
Part of Mathematical proceedings of the Cambridge Philosophical Society (Print), p. 325-352, 2019
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The G-Centre and Gradable Derived Equivalences
Part of Journal of the Australian Mathematical Society, p. 289-315, 2018
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Graded simple Lie algebras and graded simple representations
Part of Manuscripta mathematica, p. 215-240, 2018
- DOI for Graded simple Lie algebras and graded simple representations
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Fiat categorification of the symmetric inverse semigroup ISn and the semigroup Fn*
Part of Semigroup Forum, p. 142-159, 2018
- DOI for Fiat categorification of the symmetric inverse semigroup ISn and the semigroup Fn*
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Classification problems in 2-representation theory
Part of São Paulo Journal of Mathematical Sciences, p. 1-22, 2017
- DOI for Classification problems in 2-representation theory
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Simple transitive 2-representations for some 2-subcategories of Soergel bimodules
Part of Journal of Pure and Applied Algebra, p. 565-587, 2017
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Some homological properties of category O. IV
Part of Forum mathematicum, p. 1083-1124, 2017
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Dualities and derived equivalences for category O
Part of Israel Journal of Mathematics, p. 661-706, 2017
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Koszul Duality for Semidirect Products and Generalized Takiff Algebras
Part of Algebras and Representation Theory, p. 675-694, 2017
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Finitary 2-categories associated with dual projection functors
Part of Communications in Contemporary Mathematics, 2017
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Special Modules Over Positively Based Algebras
Part of Documenta Mathematica, p. 1171-1192, 2016
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Isotypic faithful 2-representations of -simple fiat 2-categories
Part of Mathematische Zeitschrift, p. 411-434, 2016
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Parabolic projective functors in type A
Part of Advances in Mathematics, p. 785-803, 2016
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G(l, k, d)-modules via groupoids
Part of Journal of Algebraic Combinatorics, p. 11-32, 2016
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Endomorphisms of Cell 2-Representations
Part of International mathematics research notices, p. 7471-7498, 2016
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Transitive 2-Representations Of Finitary 2-Categories
Part of Transactions of the American Mathematical Society, p. 7623-7644, 2016
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Primitive ideals, twisting functors and star actions for classical Lie superalgebras
Part of Journal für die Reine und Angewandte Mathematik, p. 207-253, 2016
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Morita theory for finitary 2-categories
Part of Quantum Topology, p. 1-28, 2016
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Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules
Part of Symmetry, Integrability and Geometry, 2015
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Classification of Simple Weight Modules Over the 1-Spatial Ageing Algebra
Part of Algebras and Representation Theory, p. 381-395, 2015
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Simple weight modules over weak generalized Weyl algebras
Part of Journal of Pure and Applied Algebra, p. 3427-3444, 2015
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Part of Portugaliae Mathematica, p. 47-80, 2015
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Part of Journal of the European Mathematical Society (Print), p. 405-431, 2015
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Some homological properties of category O. III
Part of Advances in Mathematics, p. 204-231, 2015
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Category O for the Schrodinger algebra
Part of Linear Algebra and its Applications, p. 17-50, 2014
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On simple modules over conformal Galilei algebras
Part of Journal of Pure and Applied Algebra, p. 1885-1899, 2014
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Categorification of the Catalan monoid
Part of Semigroup Forum, p. 155-168, 2014
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Additive Versus Abelian 2-Representations of Fiat 2-Categories
Part of Moscow Mathematical Journal, p. 595-615, 2014
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Simple Virasoro Modules Induced from Codimension One Subalgebras of the Positive Part
Part of Proceedings of the American Mathematical Society, p. 3695-3703, 2014
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On the Representation Theory of Partial Brauer Algebras
Part of Quarterly Journal of Mathematics, p. 225-247, 2014
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Simple Virasoro modules which are locally finite over a positive part
Part of Selecta Mathematica, New Series, p. 839-854, 2014
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Weight Modules over Infinite Dimensional Weyl Algebras
Part of Proceedings of the American Mathematical Society, p. 3049-3057, 2014
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Characterization of Simple Highest Weight Modules
Part of Canadian mathematical bulletin, p. 606-614, 2013
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Equivalence of Blocks for the General Linear Lie Superalgebra
Part of Letters in Mathematical Physics, p. 1313-1327, 2013
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Part of Mathematica Scandinavica, p. 30-52, 2013
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Combinatorial Gelfand Models for Semisimple Diagram Algebras
Part of Milan Journal of Mathematics, p. 385-396, 2013
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Part of Journal of Algebraic Combinatorics, p. 333-354, 2012
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Effective dimension of finite semigroups
Part of Journal of Pure and Applied Algebra, p. 2737-2753, 2012
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Combinatorial analogues of ad-nilpotent ideals for untwisted affine Lie algebras
Part of Journal of Algebra, p. 85-107, 2012
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Serre Functors for Lie Algebras and Superalgebras
Part of Annales de l'Institut Fourier, p. 47-75, 2012
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BLOCKS OF THE CATEGORY OF CUSPIDAL sp(2n)-MODULES
Part of Pacific Journal of Mathematics, p. 179-192, 2011
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Blocks and modules for Whittaker pairs
Part of Journal of Pure and Applied Algebra, p. 1552-1568, 2011
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On selfadjoint functors satisfying polynomial relations
Part of Journal of Algebra, p. 448-467, 2011
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Cuspidal sl(n)-modules and deformations of certain Brauer tree algebras
Part of Advances in Mathematics, p. 1008-1042, 2011
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Supports of weight modules over Witt algebras
Part of Proceedings of the Royal Society of Edinburgh. Section A Mathematics, p. 155-170, 2011
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Cell 2-representations of finitary 2-categories
Part of Compositio Mathematica, p. 1519-1545, 2011
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Some homological properties of the category O. II
Part of Representation Theory, p. 249-263, 2010
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A new approach to Kostant's problem
Part of Algebra & number theory, p. 231-254, 2010
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KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS
Part of Journal of the Australian Mathematical Society, p. 23-49, 2010
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Koszul duality for stratified algebras I. Balanced quasi-hereditary algebras
Part of Manuscripta mathematica, p. 1-10, 2010
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Classification of simple q_2-supermodules
Part of Tohoku mathematical journal, p. 401-426, 2010
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A brief review of abelian categorifications
Part of Theory and Applications of Categories, p. 479-508, 2009
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Applications of the Category of Linear Complexes of Tilting Modules Associated with the Category O
Part of Algebras and Representation Theory, p. 489-512, 2009
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A COMBINATORIAL APPROACH TO FUNCTORIAL QUANTUM sl(k) KNOT INVARIANTS
Part of American Journal of Mathematics, p. 1679-1713, 2009
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Simple modules over factorpowers
Part of Acta Scientiarum Mathematicarum, p. 467-485, 2009
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Quadratic Duals, Koszul Dual Functors, and Applications
Part of Transactions of the American Mathematical Society, p. 1129-1172, 2009
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Regular strongly typical blocks of O-q
Part of Communications in Mathematical Physics, p. 533-542, 2009
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On the irreducible representations of a finite semigroup
Part of Proceedings of the American Mathematical Society, p. 3585-3592, 2009
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Combinatorial Gelfand models for some semigroups and $q$-rook monoid algebras
Part of Proceedings of the Edinburgh Mathematical Society, p. 707-718, 2009
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On three approaches to conjugacy in semigroups
Part of Semigroup Forum, p. 14-20, 2009
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Idempotent subquotients of symmetric quasi-hereditary algebras
Part of Illinois Journal of Mathematics, p. 737-756, 2009
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Part of Yokohama Mathematical Journal, p. 21-46, 2009
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Partialization of categories and inverse braid-permutation monoids
Part of International Journal of Algebra and Computation, p. 989-1017, 2008
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On classification of maximal nilpotent subsemigroups
Part of Journal of Algebra, p. 3081-3103, 2008
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Categorification of Wedderburn's basis for C[S-n]
Part of Archiv der Mathematik, p. 1-11, 2008
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Projective-injective modules, Serre functors and symmetric algebras
Part of Journal für die Reine und Angewandte Mathematik, p. 131-165, 2008
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On the semigroup of square matrices
Part of Algebra Colloquium, p. 33-52, 2008
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Multicommutators and multianticommutators of orthogonal projections
Part of Linear and multilinear algebra, p. 639-646, 2008
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Schur-Weyl dualities for symmetric inverse semigroups
Part of Journal of Pure and Applied Algebra, p. 1987-1995, 2008
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A categorification of integral Specht modules
Part of Proceedings of the American Mathematical Society, p. 1163-1169, 2008
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Isolated subsemigroups in the variants of Tn:
Part of Acta Mathematica Universitatis Comenianae, p. 63-84, 2008
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Categorification of (induced) cell modules and the rough structure of generalised Verma modules
Part of Advances in Mathematics, p. 1363-1426, 2008
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Faithful group actions on rooted trees induced by actions of quotients
Part of Communications in Algebra, p. 3759-3775, 2007
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Koszul duality for extension algebras of standard modules
Part of Journal of Pure and Applied Algebra, p. 484-496, 2007
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On functors associated to a simple root
Part of Journal of Algebra, p. 97-128, 2007
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On conjugation in some transformation and Brauer-type semigroups
Part of Publicationes mathematicae (Debrecen), p. 19-43, 2007
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Some homological properties of the category O
Part of Pacific Journal of Mathematics, p. 313-341, 2007
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Classification of simple weight Virasoro modules with a finite-dimensional weight space
Part of Journal of Algebra, p. 209-214, 2007
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Representation type of H-infinity(lambda)mu(1)
Part of Quarterly Journal of Mathematics, p. 319-338, 2006
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Combinatorics and distributions of partial injections
Part of Australasian Journal of Combinatorics, p. 161-186, 2006
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L- and R- cross-sections in the Brauer semigroup
Part of Semigroup Forum, p. 223-248, 2006
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On presentations of Brauer-type monoids
Part of Central Europian Journal of Mathematics, p. 413-434, 2006
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Properly stratified algebras and tilting
Part of Proc. London Math. Soc., p. 29, 2006
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Part of Journal of Mathematics, 2005
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A twisted approach to Kostant's problem
Part of Glasgow Mathematical Journal, p. 549-561, 2005
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Part of Transactions of the American Mathematical Society, p. 2939-2973, 2005
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Some remarks on the combinatorics of IS_n
Part of Semigroup Forum 70, p. 391-405, 2005
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On Arkhipov's and Enright's functors
Part of Mathematische Zeitschrift, p. 357-386, 2005
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Finitistic dimension and tilting modules for stratified algebras
Part of Journal of Algebra, p. 456-475, 2005
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On finitistic dimension of stratified algebras
Part of Alg. Discrete Math., p. 77-88, 2004
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Combinatorics of nilpotents in symmetric inverse semigroups
Part of Annals of Combinatorics, p. 161-175, 2004
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Stratified algebras arising in Lie theory
Part of Fields Institute Communications, p. 245-260, 2004
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Finitistic dimension of properly stratified algebras
Part of Adv. Math., p. 251-265, 2004
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Complete reducibility of torsion free C_n-modules of finite degree
Part of Journal of Algebra, p. 129-142, 2004
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On simple mixed modules over the Virasoro algebra
Part of Mat. Studii, p. 121-128, 2004
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Radical *-doubles of finite-dimensional algebras
Part of Linear Algebra Appl., p. 293-309, 2004
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Structure of modules induced from simple modules with minimal annihilator
Part of Canad J. Math., p. 293-309, 2004
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*-representation type of *-doubles of finite-dimensional algebras
Part of Proceedings of Edinburgh Mathematical Society, p. 669-678, 2004
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Part of Journal of Mathematical Physics, p. 2791-2801, 2002
Articles, review/survey
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Jucys–Murphy elements and Grothendieck groups for generalized rook monoids
Part of Journal of Combinatorial Algebra, p. 185-222, 2022
- DOI for Jucys–Murphy elements and Grothendieck groups for generalized rook monoids
- Download full text (pdf) of Jucys–Murphy elements and Grothendieck groups for generalized rook monoids
Books
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Lectures on algebraic categorification
European Mathematical Society Publishing House, 2012
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Imperial College Press, 2010
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Classical finite transformation semigroups: an introduction
Springer, 2009
Chapters in book
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Stratified algebras arising in Lie theory
Part of Representations of finite-dimensional algebras and, p. 245-260, Fields Institute, 2004
Conference papers
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Virasoro type algebras associated with higher-rank aperiodic point sets
Part of Quantum Theory and Symmetries, proceedings, p. 99-104, 2004
Reports
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Multicommutators and multianticommutators of orthogonal projections
2006
-
A categorification of integral Specht modules
2006
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Some homological properties of the category O
2006
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Presentation of the singular part of the Brauer monoid
2006
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Quadratic duals, Koszul dual functors, and applications
2006
-
Partialization of categories and inverse braid-permutation monoid
2006
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On nilpotent subsemigroups in some matrix semigroups
2005
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On classification of maximal nilpotent subsemigroups
2005
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Projective-injective modules, Serre functors and symmetric algebras
2005
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Classification of simple weight Virasoro modules with a finite-dimensional weight space
2005
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A twisted approach to Kostant's problem
2005
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Isolated subsemigroups in the variants of Tn
2005
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On braid groups acting on rooted trees and related constructions
2005
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Applications of the category of linear complexes of tilting modules associated with the category O
2005
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2005
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On presentations of Brauer-type monoids
2005
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Some remarks on the combinatorics of ISn
2004
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On functors associated to a simple root
2004
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A pairing in homology and the category of linear tilting complexes for a quasi-hereditary algebra
2004
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On conjugation in some transformation and Brauer-type semigroups
2004
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L- and R-cross-sections in the Brauer semigroup
2004
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Koszul duality for extension algebras of standard modules
2004
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2004
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On finitistic dimension of stratified algebras
2004
-
On Arkhipov's and Enright's functors
2003
-
Combinatorics and distributions of partial injections
2003
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Finitistic dimension of properly stratified algebras
2003
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Properly stratified algebras and tilting
2003
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Finitistic dimension and tilting modules for stratified algebras
2003