Colocalizing subcategories and cosupport

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2012Embargo end date: 01 Jan 2010 Germany Publisher:Walter de Gruyter GmbHJournal:Journal für die reine und angewandte Mathematik (Crelles Journal), volume 2,012 (issn: 0075-4102, eissn: 1435-5345,

Copyright policy )Funded by:NSF | Derived categories of com...

Authors: Benson, Dave; Iyengar, Srikanth B.; Krause, Henning;

doi: 10.1515/crelle.2011.180 , 10.48550/arxiv.1008.3701

arXiv: 1008.3701

Colocalizing subcategories and cosupport

- Summary
- Subjects
- Metrics

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.

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

Country

Germany

Related Organizations

Bielefeld University
Germany
University of Nebraska System
United States
University of Aberdeen
United Kingdom
University of Nebraska-Lincoln
United States
King's College London
United Kingdom

Keywords

FOS: Mathematics, Representation Theory (math.RT), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Mathematics - Representation Theory, 20J06 (primary), 13D45, 16E45, 18E30

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	10
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average