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Generalized graded Hecke algebra for complex reflection group of type G(r,1,n)

C. Dezelee
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Abstract

We study the representation theory of a generalized graded Hecke algebra associated to a complex reflection group of type G(r,1,n), defined by Ram and Shepler. We use a realization of this algebra in the corresponding symplectic reflection algebra to prove a PBW theorem. We define principal series modules and prove an irreducibility criterion for them.

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BibTeXRIS

C. Dezelee. 2006-05-16. Generalized graded Hecke algebra for complex reflection group of type G(r,1,n). https://arxiv.org/abs/math/0605410

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