Permutation modules and cohomological singularity

Balmer, Paul; Gallauer, Martin

doi:10.4171/cmh/534

アイテム詳細

登録内容を編集ファイル形式で保存

一時保存へ追加

タグ情報を表示リリース履歴を表示詳細要約

公開

学術論文

Permutation modules and cohomological singularity

MPS-Authors

/persons/resource/persons276752

Gallauer, Martin
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.4171/cmh/534
(出版社版)

https://doi.org/10.48550/arXiv.2009.14093
(プレプリント)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

フルテキスト (公開)

Balmer-Gallauer_Permutation modules and cohomological singularity_2022.pdf
(出版社版), 334KB

付随資料 (公開)

There is no public supplementary material available

引用

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

引用: https://hdl.handle.net/21.11116/0000-000A-F3C1-9

要旨

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.