Solleveld, MaartenMaartenSolleveld2011-08-042021-12-032011-08-042021-12-032010https://resolver.sub.uni-goettingen.de/purl?gro-2/95184We 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.enGraded Hecke algebras; Affine Hecke algebras; Intertwining operators510journal_articlehttps://resolver.sub.uni-goettingen.de/purl?gs-1/6857openAccess