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arXiv · 1502.02184

Cocenters and representations of affine $0$-Hecke algebras

Xuhua He·Sian Nie
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Abstract

In this paper, we study the relation between the cocenter $\overline{\tilde \ch_0}$ and the finite dimensional representations of an affine $0$-Hecke algebra $\tilde \ch_0$. As a consequence, we obtain a new criterion on the supersingular modules: a (virtual) module of $\tilde \ch_0$ is supersingular if and only if its character vanishes on the non-supersingular part of $\overline{\tilde \ch_0}$.

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BibTeXRIS

Xuhua He, Sian Nie. 2015-02-07. Cocenters and representations of affine $0$-Hecke algebras. https://arxiv.org/abs/1502.02184

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