Types and unitary representations of reductive p-adic groups
Representation Theory
2018-08-01 v2
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.
Cite
@article{arxiv.1707.06506,
title = {Types and unitary representations of reductive p-adic groups},
author = {Dan Ciubotaru},
journal= {arXiv preprint arXiv:1707.06506},
year = {2018}
}
Comments
21 pages; v2: 23 pages, introduced "rigid types"