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.
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Solleveld, M. Parabolically Induced Representations of Graded Hecke Algebras. Algebr Represent Theor 15, 233–271 (2012). https://doi.org/10.1007/s10468-010-9240-8
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DOI: https://doi.org/10.1007/s10468-010-9240-8