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K-State Today

October 10, 2013

Math Colloquium today

By Reta McDermott

Dimitar Grantchargy from the University of Texas, Arlington will deliver the Department of Mathematics Colloquium, "Weight Representations of Lie Algebras" at 2:30 p.m. today in 122 Cardwell Hall. The colloquium is free and open to the public.

Here is the lecture abstract: Following works of G. Benkart, D. Britten, S. Fernando, V. Futorny, A. Joseph, F. Lemire, and others, in 2000 O. Mathieu achieved a major breakthrough in representation theory by classifying the simple weight representations of finite dimensional reductive Lie algebras. The next step in the study of weight representations is to look at the indecomposable representations. In this talk we will discuss recent results related to the structure of the indecomposable weight representations and connections with quiver theory and algebraic geometry. This is a joint work with Vera Serganova.

Support is provided by National Science Graduate Research conference grant DMS-1315268.