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Licensed Unlicensed Requires Authentication Published by De Gruyter January 12, 2012

Colocalizing subcategories and cosupport

David J. Benson, Srikanth B. Iyengar and Henning Krause

Abstract

The Hom closed colocalizing subcategories of the stable module category of a finite group are classified. Along the way, the colocalizing subcategories of the homotopy category of injectives over an exterior algebra, and the derived category of a formal commutative differential graded algebra, are classified. To this end, and with an eye towards future applications, a notion of local homology and cosupport for triangulated categories is developed, building on earlier work of the authors on local cohomology and support.

Received: 2010-10-06
Revised: 2011-02-02
Published Online: 2012-01-12
Published in Print: 2012-12

©[2012] by Walter de Gruyter Berlin Boston