Algebraic groups and compact generation of their derived categories of representations

Jack Hall; David Rydh

doi:10.1512/iumj.2015.64.5719

Algebraic groups and compact generation of their derived categories of representations

Jack Hall, David Rydh

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	1903-1923
Number of pages	21
Journal	Indiana University Mathematics Journal
Volume	64
Issue number	6
DOIs	https://doi.org/10.1512/iumj.2015.64.5719
State	Published - 2015
Externally published	Yes

Keywords

Algebraic stacks
Derived categories

ASJC Scopus subject areas

General Mathematics

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10.1512/iumj.2015.64.5719

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title = "Algebraic groups and compact generation of their derived categories of representations",

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

keywords = "Algebraic stacks, Derived categories",

author = "Jack Hall and David Rydh",

note = "Publisher Copyright: {\textcopyright} Indiana University Mathematics Journal.",

year = "2015",

doi = "10.1512/iumj.2015.64.5719",

language = "English (US)",

volume = "64",

pages = "1903--1923",

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AU - Rydh, David

N1 - Publisher Copyright: © Indiana University Mathematics Journal.

PY - 2015

Y1 - 2015

N2 - Let k be a field. We characterize the group schemes G over k, not necessarily affine, such that Dqc(BkG) is compactly generated. We also describe the algebraic stacks that have finite cohomological dimension in terms of their stabilizer groups.

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

KW - Algebraic stacks

KW - Derived categories

UR - https://www.scopus.com/pages/publications/84955088575

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M3 - Article

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EP - 1923

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 6

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Algebraic groups and compact generation of their derived categories of representations

Abstract

Keywords

ASJC Scopus subject areas

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