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Colocalizing subcategories and cosupport
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Published/Copyright:
January 12, 2012
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
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Articles in the same Issue
- An upper bound on the exceptional characteristics for Lusztig's character formula
- Equivariant Kählerian extensions of contact manifolds
- On the dimension of CAT(0) spaces where mapping class groups act
- Tetrahedral forms in monoidal categories and 3-manifold invariants
- Continuity of the Álvarez class under deformations
- Colocalizing subcategories and cosupport
- Dunkl operator and quantization of ℤ2-singularity
- An even unimodular 72-dimensional lattice of minimum 8
