Stratification for module categories of finite group schemes
Representation Theory
2017-07-07 v3
Abstract
The tensor ideal localising subcategories of the stable module category of all, including infinite dimensional, representations of a finite group scheme over a field of positive characteristic are classified. Various applications concerning the structure of the stable module category and the behavior of support and cosupport under restriction and induction are presented.
Keywords
Cite
@article{arxiv.1510.06773,
title = {Stratification for module categories of finite group schemes},
author = {Dave Benson and Srikanth B. Iyengar and Henning Krause and Julia Pevtsova},
journal= {arXiv preprint arXiv:1510.06773},
year = {2017}
}
Comments
38 pages. Minor changes from the previous version. This paper will appear in the Journal of the American Mathematical Society