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arXiv · 0909.1227

Analytic R-groups of affine Hecke algebras

Eric Opdam·Patrick Delorme
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Abstract

We define analytic $R$-groups for affine Hecke algebras, and prove the analog of the Knapp-Stein Dimension Theorem. As a corollary we prove that the commutant algebra of a unitary principal series representation is isomorphic to the complex group algebra of the $R$-group, twisted by a certain 2-cocycle $\gamma$. For classical Hecke algebras we prove that $\gamma$ is always trivial.

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BibTeXRIS

Eric Opdam, Patrick Delorme. 2009-09-07. Analytic R-groups of affine Hecke algebras. https://arxiv.org/abs/0909.1227

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