0804.0433Apr 2, 2008In the second version several new results have been added to prove some claims from the last page of the first version. In the third version the introduction has been extended and we determine the global dimension of a graded Hecke algebra

Parabolically induced representations of graded Hecke algebras

Maarten Solleveld

Representation Theory

arXiv PDF

Abstract

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.

Briefing

What this paper is actually doing

Sign in and connect a model key to generate a briefing for this paper.

Socratic margin

Ask the abstract

Questions are grounded in the title and abstract. If the PDF is required, arXivDesk will say so.

Sign in to ask questions about this paper.