English

Shifted functors of linear representations are semisimple

Group Theory 2022-01-07 v2 Category Theory Rings and Algebras Representation Theory

Abstract

We prove that, for any fields kk and F\mathbb{F} of characteristic 00 and any finite group TT, the category of modules over the shifted Green biset functor (kRF)T(kR_{\mathbb{F}})_T is semisimple.

Keywords

Cite

@article{arxiv.2008.11248,
  title  = {Shifted functors of linear representations are semisimple},
  author = {Serge Bouc and Nadia Romero},
  journal= {arXiv preprint arXiv:2008.11248},
  year   = {2022}
}
R2 v1 2026-06-23T18:06:06.548Z