Anna Rodriguez Rasmussen: Existence and uniqueness of exact Borel subalgebras
- Date
- 27 May 2026, 13:15
- Location
- 10134, Polhemsalen, Ångströmlaboratoriet, Regementsvägen 10, 75237 Uppsala
- Type
- Thesis defence
- Thesis author
- Anna Rodriguez Rasmussen
- External reviewer
- Vladidmir Dotsenko
- Supervisors
- Julian Külshammer, Volodymyr Mazorchuk
- Research subject
- Mathematics
- Publication
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-583900
Abstract
The main focus of this thesis is the study of exact Borel subalgebras of quasi-hereditary algebras. Existence results and constructions of such subalgebras are given in several special settings, in particular in the context of skew group and tensor algebra constructions, as well as for quasi-hereditary monomial algebras. Moreover, it is shown that regular exact Borel subalgebras are unique up to inner automorphism.