Rota–Baxter operators of weight zero with non-matrix images on Cayley–Dickson algebra Full article
| Journal |
European Journal of Mathematics
ISSN: 2199-675X , E-ISSN: 2199-6768 |
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| Output data | Year: 2025, Volume: 11, Number: 3, Article number : 43, Pages count : 24 DOI: 10.1007/s40879-025-00833-w | ||||
| 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:
All Rota–Baxter operators of weight zero on split Cayley–Dickson algebra with nonmatrix images over a field of characteristic not 2 are classified up to conjugation by automorphisms and antiautomorphisms. Moreover, this classification was refined for a quadratically closed field. Thus, the classification of Rota–Baxter operators on composition algebras is finished.
Cite:
Panasenko A.S.
Rota–Baxter operators of weight zero with non-matrix images on Cayley–Dickson algebra
European Journal of Mathematics. 2025. V.11. N3. 43 :1-24. DOI: 10.1007/s40879-025-00833-w WOS Scopus
Rota–Baxter operators of weight zero with non-matrix images on Cayley–Dickson algebra
European Journal of Mathematics. 2025. V.11. N3. 43 :1-24. DOI: 10.1007/s40879-025-00833-w WOS Scopus
Dates:
| Submitted: | Mar 14, 2025 |
| Accepted: | May 8, 2025 |
| Published print: | Jun 16, 2025 |
| Published online: | Jun 16, 2025 |
Identifiers:
| Web of science: | WOS:001509882100004 |
| Scopus: | 2-s2.0-105008234720 |
Citing:
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