Colocalizing subcategories and cosupport

被引：39

作者：

Benson, David J. ^{[1
]}

Iyengar, Srikanth B. ^{[2
]}

Krause, Henning ^{[3
]}

机构：

[1] Univ Aberdeen, Inst Math, Kings Coll, Aberdeen AB24 3UE, Scotland

[2] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

[3] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2012年 / 673卷

基金：

美国国家科学基金会;

关键词：

COHOMOLOGY; SUPPORT;

D O I：

10.1515/CRELLE.2011.180

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：161 / 207

页数：47

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