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Texas A&M University
Mathematics

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.