Annals of K-Theory

Colocalising subcategories of modules over finite group schemes

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

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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.

Article information

Source
Ann. K-Theory, Volume 2, Number 3 (2017), 387-408.

Dates
Received: 14 April 2016
Accepted: 29 August 2016
First available in Project Euclid: 19 October 2017

Permanent link to this document
https://projecteuclid.org/euclid.akt/1508431896

Digital Object Identifier
doi:10.2140/akt.2017.2.387

Mathematical Reviews number (MathSciNet)
MR3658989

Zentralblatt MATH identifier
06726477

Subjects
Primary: 16G10: Representations of Artinian rings
Secondary: 18E30: Derived categories, triangulated categories 20C20: Modular representations and characters 20G10: Cohomology theory 20J06: Cohomology of groups

Keywords
cosupport stable module category finite group scheme colocalising subcategory

Citation

Benson, Dave; Iyengar, Srikanth; Krause, Henning; Pevtsova, Julia. Colocalising subcategories of modules over finite group schemes. Ann. K-Theory 2 (2017), no. 3, 387--408. doi:10.2140/akt.2017.2.387. https://projecteuclid.org/euclid.akt/1508431896


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