Supercuspidal support of irreducible modulo l-representations of SL_n(F)

Peiyi Cui

Supercuspidal support of irreducible modulo l-representations of SL_n(F)

Representation Theory 2021-09-22 v1

Authors: Peiyi Cui

Abstract

Let k be an algebraically closed field with characteristic l different from p. We show that the supercuspidal support of irreducible smooth k-representations of Levi subgroups M' of SL_n(F) is unique up to M'-conjugation, where F is either a finite field of characteristic p or a non-archimedean locally compact field of residual characteristic p.

Keywords

supercuspidal support irreducible representations mod l representations sl_n levi subgroups non-archimedean fields

Cite

@article{arxiv.2109.10248,
  title  = {Supercuspidal support of irreducible modulo l-representations of SL_n(F)},
  author = {Peiyi Cui},
  journal= {arXiv preprint arXiv:2109.10248},
  year   = {2021}
}

Comments

19 pages. This is part of my thesis arXiv:1912.13473 with improvements on writing and symbol system. It has been submitted as a separate article, and is uploaded separately for citation purposes

Supercuspidal support of irreducible modulo l-representations of SL_n(F)

Abstract

Keywords

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