Colocalising subcategories of modules over finite group schemes

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

Research output: Contribution to journalArticle

8 Downloads (Pure)

Abstract

The Hom closed colocalising subcategories of the stable module category of a finite group scheme are classified. This complements the classification of the tensor closed localising subcategories in our previous work. Both classifications involve π-points in the sense of Friedlander and Pevtsova. We identify for each π-point an endofinite module which both generates the corresponding minimal localising subcategory and cogenerates the corresponding minimal colocalising subcategory.
Original languageEnglish
Pages (from-to)387-408
Number of pages22
JournalAnnals of K-Theory
Volume2
Issue number3
DOIs
Publication statusPublished - 1 Jun 2017

Keywords

  • cosupport
  • stable module category
  • finite group scheme
  • colocalising subcategory

Fingerprint Dive into the research topics of 'Colocalising subcategories of modules over finite group schemes'. Together they form a unique fingerprint.

  • Cite this