Rota–Baxter Operators of Weight Zero on Upper-Triangular Matrices of Order Three Full article
| Journal |
Mediterranean Journal of Mathematics
ISSN: 1660-5446 , E-ISSN: 1660-5454 |
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| Output data | Year: 2024, Volume: 21, Number: 7, Article number : 200, Pages count : 25 DOI: 10.1007/s00009-024-02744-8 | ||||
| Tags | Rota-Baxter operatorupper-triangular matrix: matrix algebra | ||||
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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 R of weight zero on the algebra U3(F) of upper-triangular matrices of order three over a field of characteristic 0. For this, we apply the following three ingredients: properties of R(1), conjugation with suitable (anti)automorphisms of U3(F), and computation with the help of Singular of the Gröbner basis for the system of equations arisen on the coefficients of R.equations arisen on the coefficients of R.
Cite:
Gubarev V.
Rota–Baxter Operators of Weight Zero on Upper-Triangular Matrices of Order Three
Mediterranean Journal of Mathematics. 2024. V.21. N7. 200 :1-25. DOI: 10.1007/s00009-024-02744-8 WOS Scopus РИНЦ OpenAlex
Rota–Baxter Operators of Weight Zero on Upper-Triangular Matrices of Order Three
Mediterranean Journal of Mathematics. 2024. V.21. N7. 200 :1-25. DOI: 10.1007/s00009-024-02744-8 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Apr 29, 2024 |
| Accepted: | Oct 1, 2024 |
| Published print: | Oct 18, 2024 |
| Published online: | Oct 18, 2024 |
Identifiers:
| Web of science: | WOS:001342024900001 |
| Scopus: | 2-s2.0-85207240390 |
| Elibrary: | 74779327 |
| OpenAlex: | W4403545472 |
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