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Stratifying triangulated categories.
- Source :
-
Journal of Topology . Jul2011, Vol. 4 Issue 3, p641-666. 26p. - Publication Year :
- 2011
-
Abstract
- A notion of stratification is introduced for any compactly generated triangulated category endowed with an action of a graded-commutative noetherian ring R. The utility of this notion is demonstrated by establishing diverse consequences that follow if is stratified by R. Among them are a classification of the localizing subcategories of in terms of subsets of the set of prime ideals in R; a classification of the thick subcategories of the subcategory of compact objects in ; and results on the support of the graded R-module of morphisms Hom*(C, D) leading to analogs of the tensor product theorem for support varieties of modular representation of groups. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 17538416
- Volume :
- 4
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Topology
- Publication Type :
- Academic Journal
- Accession number :
- 65092835
- Full Text :
- https://doi.org/10.1112/jtopol/jtr017