Article

Algebras and Representation Theory

, Volume 15, Issue 2, pp 233-271

Open Access This content is freely available online to anyone, anywhere at any time.

Parabolically Induced Representations of Graded Hecke Algebras

  • Maarten SolleveldAffiliated withMathematisches Institut, Georg-August-Universität Göttingen Email author 

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.

Keywords

Graded Hecke algebras Affine Hecke algebras Intertwining operators

Mathematics Subject Classification (2010)

20C08