Colocalizing subcategories and cosupport

Details Colocalizing subcategories and cosupport Colocalizing subcategories and cosupport

2010-08-22

arxiv.org/abs/1008.3701v2

Mathematics

Representation Theory

38 pages; minor changes; to appear in J. Reine. Angew. Math

Scientific paper

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.

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