Colocalizing subcategories and cosupport
Representation Theory
2011-02-15 v2 Commutative Algebra
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.
Cite
@article{arxiv.1008.3701,
title = {Colocalizing subcategories and cosupport},
author = {Dave Benson and Srikanth B. Iyengar and Henning Krause},
journal= {arXiv preprint arXiv:1008.3701},
year = {2011}
}
Comments
38 pages; minor changes; to appear in J. Reine. Angew. Math