Rota-Baxter operators of weight zero on Cayley-Dickson algebra
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909230149140480 |
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| author | Panasenko, A. S. |
| author_facet | Panasenko, A. S. |
| contents | All Rota-Baxter operators of weight zero on split octonion algebra over a~field of characteristic not 2 are classified up to conjugation by automorphisms and antiautomorphisms. Thus, the classification of Rota-Baxter operators on composition algebras is finished. There are two descriptions: a~common description over arbitratry field of characteristic not 2 and more accurate description over a~quadratically closed field of characteristic not 2. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_16312 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rota-Baxter operators of weight zero on Cayley-Dickson algebra Panasenko, A. S. Rings and Algebras 17D05 (Primary), 17A36 (Secondary) All Rota-Baxter operators of weight zero on split octonion algebra over a~field of characteristic not 2 are classified up to conjugation by automorphisms and antiautomorphisms. Thus, the classification of Rota-Baxter operators on composition algebras is finished. There are two descriptions: a~common description over arbitratry field of characteristic not 2 and more accurate description over a~quadratically closed field of characteristic not 2. |
| title | Rota-Baxter operators of weight zero on Cayley-Dickson algebra |
| topic | Rings and Algebras 17D05 (Primary), 17A36 (Secondary) |
| url | https://arxiv.org/abs/2406.16312 |