Algebraic Groups and Compact Generation of their Derived Categories of Representations

被引：28

作者：

Hall, Jack ^{[1
]}

Rydh, David ^{[2
]}

机构：

[1] Australian Natl Univ, Inst Math Sci, Acton, ACT 2601, Australia

[2] KTH Royal Inst Technol, Dept Math, SE-10044 Stockholm, Sweden

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2015年 / 64卷 / 06期

基金：

瑞典研究理事会;

关键词：

Derived categories; algebraic stacks; GROTHENDIECK DUALITY; ARTIN STACKS; SCHEMES; SPACES;

D O I：

10.1512/iumj.2015.64.5719

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k be a field. We characterize the group schemes G over k, not necessarily affine, such that D-qc (B(k)G) is compactly generated. We also describe the algebraic stacks that have finite cohomological dimension in terms of their stabilizer groups.

引用

页码：1903 / 1923

页数：21

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