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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
