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arXiv:1605.03493 [math.RT]AbstractReferencesReviewsResources

Cocenters and representations of pro-$p$ Hecke algebras

Xuhua He, Sian Nie

Published 2016-05-11Version 1

In this paper, we study the relation between the cocenter and the representations of an affine pro-$p$ Hecke algebra. As a consequence, we obtain a new criterion on the supersingular representation: a (virtual) representation is supersingular if and only if its character vanishes on the non-supersingular part of the cocenter.

Comments: 26 pages. arXiv admin note: text overlap with arXiv:1502.02184
Categories: math.RT
Subjects: 20C08, 20C20, 22E50
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