Local duality for representations of finite group schemes

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

Research output: Contribution to journalArticle

Abstract

A duality theorem for the stable module category of representations of a finite group scheme is proved. One of its consequences is an analogue of Serre duality, and the existence of Auslander-Reiten triangles for the p-local and p-torsion subcategories of the stable category, for each homogeneous prime ideal p in the cohomology ring of the group scheme.
Original languageEnglish
JournalCompositio Mathematica
Publication statusAccepted/In press - 12 Nov 2018

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Group Scheme
Duality
Finite Group
Cohomology Ring
Duality Theorems
Prime Ideal
Torsion
Triangle
Analogue
Module

Keywords

  • Serre duality
  • local duality
  • finite group scheme
  • stable module category
  • Auslander-Reiten triangle

Cite this

Benson, D., Iyengar, S. B., Krause, H., & Pevtsova, J. (Accepted/In press). Local duality for representations of finite group schemes. Compositio Mathematica.

Local duality for representations of finite group schemes. / Benson, Dave; Iyengar, Srikanth B.; Krause, Henning; Pevtsova, Julia.

In: Compositio Mathematica, 12.11.2018.

Research output: Contribution to journalArticle

Benson, Dave ; Iyengar, Srikanth B. ; Krause, Henning ; Pevtsova, Julia. / Local duality for representations of finite group schemes. In: Compositio Mathematica. 2018.
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