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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2408.07156 |
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| _version_ | 1866911987378683904 |
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| author | Bezushchak, Oksana |
| author_facet | Bezushchak, Oksana |
| contents | We describe derivations of the Clifford algebra of a nondegenerate quadratic form on a countable dimensional vector space over an algebraically closed field of characteristic not equal to $2$. We also construct an algebraic automorphism of the Clifford algebra of a positive definite quadratic form that is not continuous. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07156 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Clifford Algebras of Infinite Dimensional Vector Spaces Bezushchak, Oksana Rings and Algebras 15A66, 16W20 We describe derivations of the Clifford algebra of a nondegenerate quadratic form on a countable dimensional vector space over an algebraically closed field of characteristic not equal to $2$. We also construct an algebraic automorphism of the Clifford algebra of a positive definite quadratic form that is not continuous. |
| title | On Clifford Algebras of Infinite Dimensional Vector Spaces |
| topic | Rings and Algebras 15A66, 16W20 |
| url | https://arxiv.org/abs/2408.07156 |