Title: KLR algebras and the branching rule: categorical Gelfand-Tsetlin bases for the classical Lie algebras
2013.12.06 |
| Date | Wed 26 Feb |
| Time | 15:15 — 16:15 |
| Location | Aud. D3 |
Abstract
The so-called branching rule for representations of Lie algebras has been used extensively in representation theory and mathematical physics. These rules give rise to a special basis of the representation called the Gelfand-Tsetlin basis.
In this talk I will explain how to obtain categorical branching rules and the corresponding categorical Gelfand-Tsetlin bases for the classical Lie algebras using Khovanov-Lauda-Rouquier algebras.
