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 480
751 06 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 480
751 06 UPPSALA

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