Rota—Baxter operators on the simple Jordan algebra of matrices of order two Full article
| Journal |
Bulletin of the Malaysian Mathematical Sciences Society
ISSN: 0126-6705 , E-ISSN: 2180-4206 |
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| Output data | Year: 2025, Volume: 48, Article number : 147, Pages count : 12 DOI: 10.1007/s40840-025-01932-3 | ||||
| Tags | Rota—Baxter operator, matrix algebra, Jordan algebra | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 23-71-10005 |
Abstract:
We describe all Rota—Baxter operators of any weight on the space of matrices from M2(F) considered under the product a ◦ b = (ab + ba)/2 and usually denoted as M2(F)(+). This algebra is known to be a simple Jordan one. We introduce symmetrized Rota—Baxter operators of weight λ and show that every Rota—Baxter operator of weight 0 on M2(F)(+) either is a Rota—Baxter operator of weight 0 on M2(F) or is a symmetrized Rota—Baxter operator of weight 0 on the same M2(F). We also prove that every Rota—Baxter operator of nonzero weight λ on M2(F)(+) is either a Rota— Baxter operator of weight λ on M2(F) or is, up to the action of φ : R → −R − λid, a symmetrized Rota—Baxter operator of weight λ on M2(F).
Cite:
Gubarev V.
, Panasenko A.
Rota—Baxter operators on the simple Jordan algebra of matrices of order two
Bulletin of the Malaysian Mathematical Sciences Society. 2025. V.48. 147 :1-12. DOI: 10.1007/s40840-025-01932-3 WOS Scopus
Rota—Baxter operators on the simple Jordan algebra of matrices of order two
Bulletin of the Malaysian Mathematical Sciences Society. 2025. V.48. 147 :1-12. DOI: 10.1007/s40840-025-01932-3 WOS Scopus
Dates:
| Submitted: | Feb 20, 2025 |
| Accepted: | Jul 8, 2025 |
| Published print: | Jul 17, 2025 |
| Published online: | Jul 17, 2025 |
Identifiers:
| Web of science: | WOS:001530748000002 |
| Scopus: | 2-s2.0-105011051466 |
Citing:
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