Mathematics Colloquium

Dimitar Grantcharov

(University of Texas at Arlington)

"Weight representations of Lie algebras"

Date: Mon, April 28, 2014
Time: 17:15
Place: Research II Lecture Hall

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.