Rota-Baxter Operators of Nonzero Weight on the Split Octonions Full article
| Journal |
Advances in Applied Clifford Algebras
ISSN: 0188-7009 , E-ISSN: 1661-4909 |
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| Output data | Year: 2025, Volume: 35, Number: 3, Article number : 27, Pages count : 23 DOI: 10.1007/s00006-025-01389-4 | ||||
| Tags | Cayley-Dickson algebra, Rota-Baxter operator, Split octonions, Automorphism, Antiautomorphism. | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 23-71-10005 |
Abstract:
We describe Rota-Baxter operators on split octonions. It turns out that up to some transformations there exists exactly one such nonsplitting operator over any field. We also obtain a description of all decompositions of split octonions over a quadratically closed field of characteristic different from 2 into a sum of two subalgebras, which describes the splitting Rota-Baxter operators. It completes the classification of Rota-Baxter operators on composition algebras of any weight.
Cite:
Panasenko A.S.
Rota-Baxter Operators of Nonzero Weight on the Split Octonions
Advances in Applied Clifford Algebras. 2025. V.35. N3. 27 :1-23. DOI: 10.1007/s00006-025-01389-4 WOS Scopus OpenAlex
Rota-Baxter Operators of Nonzero Weight on the Split Octonions
Advances in Applied Clifford Algebras. 2025. V.35. N3. 27 :1-23. DOI: 10.1007/s00006-025-01389-4 WOS Scopus OpenAlex
Dates:
| Submitted: | Feb 6, 2025 |
| Accepted: | May 5, 2025 |
| Published online: | May 24, 2025 |
Identifiers:
| Web of science: | WOS:001493652500001 |
| Scopus: | 2-s2.0-105005710505 |
| OpenAlex: | W4410714355 |
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