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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.09036 |
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| _version_ | 1866914446816837632 |
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| author | García-Lucas, Diego del Río, Ángel Sakurai, Taro |
| author_facet | García-Lucas, Diego del Río, Ángel Sakurai, Taro |
| contents | We prove that any tensor product factorization with a commutative factor of a modular group algebra over a prime field comes from a direct product decomposition of the group basis. This extends previous work by Carlson and Kovács for the commutative case and answers a question of them in some cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09036 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On commutative tensor factors of group algebras García-Lucas, Diego del Río, Ángel Sakurai, Taro Representation Theory We prove that any tensor product factorization with a commutative factor of a modular group algebra over a prime field comes from a direct product decomposition of the group basis. This extends previous work by Carlson and Kovács for the commutative case and answers a question of them in some cases. |
| title | On commutative tensor factors of group algebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2408.09036 |