English

Stratification and $\pi$-cosupport: Finite groups

Representation Theory 2017-01-09 v2 Group Theory

Abstract

We introduce the notion of π\pi-cosupport as a new tool for the stable module category of a finite group scheme. In the case of a finite group, we use this to give a new proof of the classification of tensor ideal localising subcategories. In a sequel to this paper, we carry out the corresponding classification for finite group schemes.

Keywords

Cite

@article{arxiv.1505.06628,
  title  = {Stratification and $\pi$-cosupport: Finite groups},
  author = {Dave Benson and Srikanth B. Iyengar and Henning Krause and Julia Pevtsova},
  journal= {arXiv preprint arXiv:1505.06628},
  year   = {2017}
}

Comments

17 pages; minor changes. This will appear in the Math. Zeitschrift

R2 v1 2026-06-22T09:40:49.573Z