Stratification for module categories of finite group schemes

Dave Benson, Srikanth B. Iyengar, Henning Krause, Julia Pevtsova

Research output: Contribution to journalArticle

3 Citations (Scopus)
4 Downloads (Pure)

Abstract

The tensor ideal localizing 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.
Original languageEnglish
Pages (from-to)265-302
Number of pages38
JournalJournal of the American Mathematical Society
Volume31
Issue number1
Early online date15 Aug 2017
DOIs
Publication statusPublished - 31 Jan 2018

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Group Scheme
Stratification
Tensors
Finite Group
Module
Positive Characteristic
Proof by induction
Tensor
Restriction

Keywords

  • Cosupport
  • finite group scheme
  • localizing subcatergory
  • support
  • thick subcategory

Cite this

Stratification for module categories of finite group schemes. / Benson, Dave; Iyengar, Srikanth B.; Krause, Henning; Pevtsova, Julia.

In: Journal of the American Mathematical Society, Vol. 31, No. 1, 31.01.2018, p. 265-302.

Research output: Contribution to journalArticle

Benson, Dave ; Iyengar, Srikanth B. ; Krause, Henning ; Pevtsova, Julia. / Stratification for module categories of finite group schemes. In: Journal of the American Mathematical Society. 2018 ; Vol. 31, No. 1. pp. 265-302.
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