CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
Two-boundary Hecke algebras and the graded Hecke algebra of type C Zajj Daugherty, St. Olaf College
March 1, 2011 Math 220 2-3pm	Abstract The degenerate two-boundary Hecke algebra arises as a centralizer algebra, much like the group algebra of the symmetric group, in duality with Lie algebras of type gl_n and sl_n. We will use combinatorics, symmetric functions, and braid groups to study the representation theory of this algebra and reveal a connection to the type C graded Hecke algebra.

Two-boundary Hecke algebras and the graded Hecke algebra of type C

Zajj Daugherty, St. Olaf College

March 1, 2011

Math 220

2-3pm

Abstract

The degenerate two-boundary Hecke algebra arises as a centralizer algebra, much like the group algebra of the symmetric group, in duality with Lie algebras of type gl_n and sl_n. We will use combinatorics, symmetric functions, and braid groups to study the representation theory of this algebra and reveal a connection to the type C graded Hecke algebra.