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Colocalising
subcategories of modules over finite group schemes
Dave Benson, Srikanth B. Iyengar, Henning Krause and Julia Pevtsova |
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Vol. 2 (2017), No. 3, 387–408
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Abstract |
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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 -points in the sense of Friedlander and Pevtsova. We identify for each -point an endofinite module which both generates the corresponding minimal localising subcategory and cogenerates the corresponding minimal colocalising subcategory. |
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Dedicated to Amnon Neeman on the occasion of his 60th birthday |
Keywords
cosupport, stable module category, finite group scheme,
colocalising subcategory
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Mathematical Subject Classification 2010
Primary: 16G10
Secondary: 18E30, 20C20, 20G10, 20J06
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Milestones
Received: 14 April 2016
Accepted: 29 August 2016
Published: 1 June 2017
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Authors |
| Dave Benson | |
| Department of Mathematics University of Aberdeen Meston Building Aberdeen AB24 3UE United Kingdom |
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| Srikanth B. Iyengar | |
| Department of Mathematics University of Utah 155 South 1400 East Room 233 Salt Lake City, UT 84112 United States |
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| Henning Krause | |
| Fakultät für Mathematik Universität Bielefeld PO Box 100131 D-33501 Bielefeld Germany |
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| Julia Pevtsova | |
| Department of Mathematics University of Washington Box 354350 Seattle, WA 98195 United States |
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