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arXiv · 1707.06506

Types and unitary representations of reductive p-adic groups

Dan Ciubotaru
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Abstract

We prove that for every Bushnell-Kutzko type that satisfies a certain rigidity assumption, the equivalence of categories between the corresponding Bernstein component and the category of modules for the Hecke algebra of the type induces a bijection between irreducible unitary representations in the two categories. This is a generalization of the unitarity criterion of Barbasch and Moy for representations with Iwahori fixed vectors.

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BibTeXRIS

Dan Ciubotaru. 2017-07-20. Types and unitary representations of reductive p-adic groups. https://doi.org/10.1007/s00222-018-0790-4

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