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The Demazure character formula and 2-Lie algebrasAlgebra & Discrete Mathematics
|Speaker:||Rob Denomme, UCLA|
|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.