Permutation modules and cohomological singularity
Representation Theory
2024-09-10 v3 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.
Keywords
Cite
@article{arxiv.2009.14093,
title = {Permutation modules and cohomological singularity},
author = {Paul Balmer and Martin Gallauer},
journal= {arXiv preprint arXiv:2009.14093},
year = {2024}
}
Comments
14 pages; v2: new introduction, shorter discussion of `big' triangulated categories; v3: minor changes before publication