, Volume 15, Issue 2, pp 233-271,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 10 Nov 2010

Parabolically Induced Representations of Graded Hecke Algebras

Abstract

We study the representation theory of graded Hecke algebras, starting from scratch and focusing on representations that are obtained by induction from a discrete series representation of a parabolic subalgebra. We determine all intertwining operators between such parabolically induced representations, and use them to parametrize the irreducible representations. Finally we describe the spectrum of a graded Hecke algebra as a topological space.

Presented by Alain Verschoren.