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arXiv · 1604.00524

Colocalising subcategories of modules over finite group schemes

Dave Benson·Srikanth B. Iyengar·Henning Krause·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 pi-points in the sense of Friedlander and Pevtsova. We identify for each pi-point an endofinite module which both generates the corresponding minimal localising subcategory and cogenerates the corresponding minimal colocalising subcategory.

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BibTeXRIS

Dave Benson, Srikanth B. Iyengar, Henning Krause, Julia Pevtsova. 2016-11-01. Colocalising subcategories of modules over finite group schemes. https://doi.org/10.2140/akt.2017.2.387

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