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2017 Colocalising subcategories of modules over finite group schemes
Dave Benson, Srikanth Iyengar, Henning Krause, Julia Pevtsova
Ann. K-Theory 2(3): 387-408 (2017). DOI: 10.2140/akt.2017.2.387

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.

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Dave Benson. Srikanth Iyengar. Henning Krause. Julia Pevtsova. "Colocalising subcategories of modules over finite group schemes." Ann. K-Theory 2 (3) 387 - 408, 2017. https://doi.org/10.2140/akt.2017.2.387

Information

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

zbMATH: 06726477
MathSciNet: MR3658989
Digital Object Identifier: 10.2140/akt.2017.2.387

Subjects:
Primary: 16G10
Secondary: 18E30 , 20C20 , 20G10 , 20J06

Keywords: colocalising subcategory , cosupport , finite group scheme , stable module category

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.2 • No. 3 • 2017
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