Posted in

Speaker:

Julian Kuelshammer
Affiliation:

Stuttgart/MPIM
Date:

Tue, 2016-10-25 14:00 - 15:00
Location:

MPIM Lecture Hall
Parent event:

Seminar on Algebra, Geometry and Physics Quasi-hereditary algebras are abundant in representation theory. Classical examples include blocks

of BGG category O associated to a complex simple Lie algebra and Schur algebras of symmetric

groups. Generalising the situation for complex simple Lie algebras, Koenig introduced the notion of

an exact Borel subalgebra of a quasi-hereditary algebra. Given a quasi-hereditary algebra A with an

exact Borel subalgebra B, one can form the dual coring Hom(A,B). In this talk we will discuss

existence and uniqueness of exact Borel subalgebras and explore the relationship between

quasi-hereditary algebras and their dual corings. This includes joint work with S.Koenig, S.Ovsienko,

A.Bodzenta, V.Miemietz, and T.Brzezinski.

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |