Vol. 2, No. 3, 2017

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ISSN: 2379-1691 (e-only)
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Colocalising subcategories of modules over finite group schemes

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

Vol. 2 (2017), No. 3, 387–408
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.

Dedicated to Amnon Neeman on the occasion of his 60th birthday

Keywords
cosupport, stable module category, finite group scheme, colocalising subcategory
Mathematical Subject Classification 2010
Primary: 16G10
Secondary: 18E30, 20C20, 20G10, 20J06
Milestones
Received: 14 April 2016
Accepted: 29 August 2016
Published: 1 June 2017
Authors
Dave Benson
Department of Mathematics
University of Aberdeen
Meston Building
Aberdeen
AB24 3UE
United Kingdom
Srikanth B. Iyengar
Department of Mathematics
University of Utah
155 South 1400 East
Room 233
Salt Lake City, UT 84112
United States
Henning Krause
Fakultät für Mathematik
Universität Bielefeld
PO Box 100131
D-33501 Bielefeld
Germany
Julia Pevtsova
Department of Mathematics
University of Washington
Box 354350
Seattle, WA 98195
United States