Fibrewise stratification of group representations Article Swipe

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David J. Benson , Srikanth B. Iyengar , Henning Krause , Julia Pevtsova ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.5802/art.6

Given a finite cocommutative Hopf algebra over a commutative regular ring , the lattice of localising tensor ideals of the stable category of Gorenstein projective -modules is described in terms of the corresponding lattices for the fibres of over the spectrum of . Under certain natural conditions on the cohomology of over , this yields a stratification of the stable category. These results apply when is the group algebra over of a finite group, and also when is the exterior algebra on a finite free -module.

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Stratification (seeds) Group (periodic table) Mathematics Geography Physics Biology Botany Dormancy Quantum mechanics Germination Seed dormancy

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Type: article
Language: en
Landing Page: https://doi.org/10.5802/art.6
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DOI: https://doi.org/10.5802/art.6

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Title: Fibrewise stratification of group representations

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Publication year: 2024

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Publication date: 2024-02-13

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Authors: David J. Benson, Srikanth B. Iyengar, Henning Krause, Julia Pevtsova

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Concepts: Stratification (seeds), Group (periodic table), Mathematics, Geography, Physics, Biology, Botany, Dormancy, Quantum mechanics, Germination, Seed dormancy

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