Algebra and Combinatorics Seminar
Date: March 23, 2018
Time: 3:00PM - 3:50PM
Location: BLOC 628
Speaker: Dimitar Grantcharov, UT Arlington
Title: Singular Gelfand-Tsetlin Modules and BGG Differential Operators
Abstract: Every irreducible finite-dimensional module of the general linear Lie algebra gl(n) can be described with the aid of the classical Gelfand-Tsetlin formulas. The same formulas can be used to define a gl(n)-module structure on some infinite-dimensional modules - the so-called generic (nonsingular) Gelfand-Tsetlin modules. In this talk we will introduce Gelfand-Tsetlin modules and discuss recent progress on the study of singular Gelfand-Tsetlin gl(n)-modules and relations with BGG differential operators. The talk is based on a joint work with V. Futorny, L. E. Ramirez, and P. Zadunaisky.