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- Title
Colocalizing subcategories and cosupport.
- Authors
Benson, David J.; Iyengar, Srikanth B.; Krause, Henning
- 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.
- Subjects
MODULES (Algebra); COHOMOLOGY theory; BOREL subsets; MATHEMATICS theorems; MATHEMATICAL functions
- Publication
Journal für die Reine und Angewandte Mathematik, 2012, Vol 2012, Issue 673, p161
- ISSN
0075-4102
- Publication type
Article
- DOI
10.1515/CRELLE.2011.180