Monoidal model structures over infinite groups
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909869356875776 |
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| author | Emmanouil, Ioannis Talelli, Olympia |
| author_facet | Emmanouil, Ioannis Talelli, Olympia |
| contents | The stable category of modules over the algebra of a finite group with coefficients in a field is a compactly generated tensor triangulated category, that has been studied extensively in representation theory. In this paper, we provide a plethora of infinite groups G, for which the category of kG-modules (where k is a commutative coherent ring of finite global dimension) admits a monoidal model structure, in the sense of Hovey, whose associated homotopy category is a compactly generated tensor triangulated category. To that end, we use a technique recently introduced by the authors, which is based on Kropholler's operation LH and the second author's operation Φ. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08195 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Monoidal model structures over infinite groups Emmanouil, Ioannis Talelli, Olympia Representation Theory The stable category of modules over the algebra of a finite group with coefficients in a field is a compactly generated tensor triangulated category, that has been studied extensively in representation theory. In this paper, we provide a plethora of infinite groups G, for which the category of kG-modules (where k is a commutative coherent ring of finite global dimension) admits a monoidal model structure, in the sense of Hovey, whose associated homotopy category is a compactly generated tensor triangulated category. To that end, we use a technique recently introduced by the authors, which is based on Kropholler's operation LH and the second author's operation Φ. |
| title | Monoidal model structures over infinite groups |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2510.08195 |