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KLR algebras and the branching rule: categorical Gelfand-Tsetlin bases for the classical Lie algebras

Pedro Vaz
(Université catholique de Louvain, Belgium)
Seminar
Onsdag, 26 februar, 2014, at 15:15-16:15, in Aud. D3 (1531-215)
Abstrakt:
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.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen