Julian Külshammer

Exact Borel subalgebras and boxes.

Abstract:

By construction the Verma modules in BGG category O for a semisimple complex Lie algebra are induced from the universal enveloping algebra of a Borel subalgebra. The analogue of this for quasi-hereditary algebras leads to the notion of an exact Borel subalgebra. In this (second) talk we explain how to construct such a subalgebra for every quasi-hereditary algebra up to Morita equivalence by translating the A-infinity structure from the previous talk to the world of boxes. This is joint work with Steffen Koenig and Sergiy Ovsienko based on arXiv: 1305.2315.