Algebras and Representation Theory

, Volume 15, Issue 2, pp 233-271

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Parabolically Induced Representations of Graded Hecke Algebras

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


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.


Graded Hecke algebras Affine Hecke algebras Intertwining operators

Mathematics Subject Classification (2010)