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

31 Citations (Scopus)

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
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
Publication status	Published - 2015

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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.",

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AU - Rydh, David

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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

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DO - 10.1512/iumj.2015.64.5719

M3 - Article

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VL - 64

SP - 1903

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

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