On stable equivalences of Morita type with twisted diagonal vertices
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908979307741184 |
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| author | Huang, Xin |
| author_facet | Huang, Xin |
| contents | We give a new proof, by using simplified terminology and notation, to a result of Puig stating that if a bimodule of two block algebras of finite groups over an algebraically closed field induces a stable equivalence of Morita type and has a twisted diagonal vertex, then it has an endopermutation module as a source. We also extend this result to arbitrary fields under a mild assumption. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06856 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On stable equivalences of Morita type with twisted diagonal vertices Huang, Xin Representation Theory Group Theory We give a new proof, by using simplified terminology and notation, to a result of Puig stating that if a bimodule of two block algebras of finite groups over an algebraically closed field induces a stable equivalence of Morita type and has a twisted diagonal vertex, then it has an endopermutation module as a source. We also extend this result to arbitrary fields under a mild assumption. |
| title | On stable equivalences of Morita type with twisted diagonal vertices |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2512.06856 |