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The Demazure character formula and 2-Lie algebras

Algebra & Discrete Mathematics

Speaker: Rob Denomme, UCLA
Related Webpage: http://arxiv.org/abs/1311.3745
Location: 3106 MSB
Start time: Wed, May 27 2015, 11:00AM

In this talk we will review the classical Demazure character formula for simple representations of a simple Lie algebra. It will be shown how to categorify Demazure operators to the level of Lie algebras and then again to the level of 2-Lie algebras. This has several implications for higher representation theory and suggests several conjectures we will review.