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  Permutation modules and cohomological singularity

Balmer, P., & Gallauer, M. (2022). Permutation modules and cohomological singularity. Commentarii Mathematici Helvetici, 97(3), 413-430. doi:10.4171/cmh/534.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-F3C1-9 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-1D19-7
Genre: Journal Article

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Balmer-Gallauer_Permutation modules and cohomological singularity_2022.pdf (Publisher version), 334KB
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https://doi.org/10.4171/cmh/534 (Publisher version)
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https://doi.org/10.48550/arXiv.2009.14093 (Preprint)
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 Creators:
Balmer, Paul, Author
Gallauer, Martin1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Representation Theory, Category Theory
 Abstract: We define a new invariant of finitely generated representations of a finite
group, with coefficients in a commutative noetherian ring. This invariant uses
group cohomology and takes values in the singularity category of the
coefficient ring. It detects which representations are controlled by
permutation modules.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: 18
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2009.14093
DOI: 10.4171/cmh/534
 Degree: -

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Title: Commentarii Mathematici Helvetici
Source Genre: Journal
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Publ. Info: EMS Press
Pages: - Volume / Issue: 97 (3) Sequence Number: - Start / End Page: 413 - 430 Identifier: -