Parabolically induced representations of graded Hecke algebras

Details Parabolically induced representations of graded Hecke algebras Parabolically induced representations of graded Hecke algebras

2008-04-02

arxiv.org/abs/0804.0433v3

Mathematics

Representation Theory

In the second version several new results have been added to prove some claims from the last page of the first version. In the

Scientific paper

We study the representation theory of graded Hecke algebras, starting from
scratch and focusing on representations that are obtained with 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.

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