The spectrum of local dualisable modular representations
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909622493773824 |
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| author | Benson, Dave Iyengar, Srikanth B. Krause, Henning Pevtsova, Julia |
| author_facet | Benson, Dave Iyengar, Srikanth B. Krause, Henning Pevtsova, Julia |
| contents | For a point $\mathfrak{p}$ in the spectrum of the cohomology ring of a finite group $G$ over a field $k$, we calculate the spectrum for the subcategory of dualisable objects inside the tensor triangulated category of $\mathfrak{p}$-local and $\mathfrak{p}$-torsion objects in the (big) stable module category of the group algebra $kG$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19368 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The spectrum of local dualisable modular representations Benson, Dave Iyengar, Srikanth B. Krause, Henning Pevtsova, Julia Representation Theory 20C20 (primary), 18G80, 20J06 (secondary) For a point $\mathfrak{p}$ in the spectrum of the cohomology ring of a finite group $G$ over a field $k$, we calculate the spectrum for the subcategory of dualisable objects inside the tensor triangulated category of $\mathfrak{p}$-local and $\mathfrak{p}$-torsion objects in the (big) stable module category of the group algebra $kG$. |
| title | The spectrum of local dualisable modular representations |
| topic | Representation Theory 20C20 (primary), 18G80, 20J06 (secondary) |
| url | https://arxiv.org/abs/2505.19368 |