Cocenters and representations of affine $0$-Hecke algebras

Xuhua He; Sian Nie

Cocenters and representations of affine $0$-Hecke algebras

Representation Theory 2015-02-10 v1

Authors: Xuhua He , Sian Nie

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 $\overline{\tilde \ch_0}$ .

Keywords

affine 0-Hecke algebras cocenters finite dimensional representations supersingular modules character vanishing

Cite

@article{arxiv.1502.02184,
  title  = {Cocenters and representations of affine $0$-Hecke algebras},
  author = {Xuhua He and Sian Nie},
  journal= {arXiv preprint arXiv:1502.02184},
  year   = {2015}
}

Comments

18 pages

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