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arXiv · 1605.03493

Cocenters and representations of pro-$p$ Hecke algebras

Xuhua He·Sian Nie
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Abstract

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.

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Xuhua He, Sian Nie. 2016-05-11. Cocenters and representations of pro-$p$ Hecke algebras. https://arxiv.org/abs/1605.03493

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