Discrete series characters for affine Hecke algebras and their formal degrees

Eric Opdam; Maarten Solleveld

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arXiv · 0804.0026

Discrete series characters for affine Hecke algebras and their formal degrees

Eric Opdam·Maarten Solleveld

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Abstract

We introduce the generic central character of an irreducible discrete series representation of an affine Hecke algebra. Using this invariant we give a new classification of the irreducible discrete series characters for all abstract affine Hecke algebras (except for the types E) with arbitrary positive parameters and we prove an explicit product formula for their formal degrees (in all cases).

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BibTeX RIS

Eric Opdam, Maarten Solleveld. 2010-10-23. Discrete series characters for affine Hecke algebras and their formal degrees. https://arxiv.org/abs/0804.0026

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