Local duality for representations of finite group schemes

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

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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
Pages (from-to)424-453
Number of pages30
JournalCompositio Mathematica
Volume155
Issue number2
Early online date18 Feb 2019
DOIs
Publication statusPublished - Feb 2019

Keywords

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

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