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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.21784 |
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| _version_ | 1866908604672507904 |
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| author | Arutyunov, Andronick Muravev, Oleg |
| author_facet | Arutyunov, Andronick Muravev, Oleg |
| contents | We construct a description of graded derivations in group algebras. Using this result for arbitrary graduation of the group algebra, we describe all possible structures of DG algebras. The corresponding examples are given. The description is given in terms of characters on a groupoid analogous to the groupoid of inner action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21784 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Description of the structure of DG--algebras via characters on a groupoid Arutyunov, Andronick Muravev, Oleg Rings and Algebras Algebraic Geometry Category Theory Group Theory Operator Algebras 47B47, 17B70, 05E16, We construct a description of graded derivations in group algebras. Using this result for arbitrary graduation of the group algebra, we describe all possible structures of DG algebras. The corresponding examples are given. The description is given in terms of characters on a groupoid analogous to the groupoid of inner action. |
| title | Description of the structure of DG--algebras via characters on a groupoid |
| topic | Rings and Algebras Algebraic Geometry Category Theory Group Theory Operator Algebras 47B47, 17B70, 05E16, |
| url | https://arxiv.org/abs/2503.21784 |