Title: The degenerate two-boundary Hecke algebra
Speaker: Zajj Daugherty (St. Olaf College)
Abstract: In this talk, we will address a family of algebras similar to the group algebra of the symmetric group, the Brauer algebras, and the graded Hecke algebra of type A. In particular, we will discuss algebras of operators which commute with the action of Lie algebras gl_n and sl_n on a specific tensor space. Combinatorial techniques will help us explore the representation theory of these algebras, revealing beautiful structure which mimics that of type C objects.