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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 4, Pages 768–782
DOI: https://doi.org/10.33048/smzh.2022.63.404 (Mi smj7691) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Rota–Baxter operators on the simple Jordan superalgebra $D_t$

T. A. Bolotinaa, V. Yu. Gubarevba

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/smzh.2022.63.404
Abstract: Up to conjugation by an automorphism, we describe the Rota–Baxter operators of weight zero or nonzero on the simple four-dimensional Jordan superalgebra $D_t$ over an algebraically closed field of characteristic $0$. The description includes the classification of all decompositions of $D_t$ into a direct sum of two subalgebras.
Keywords: Rota–Baxter operators, Jordan superalgebra, decomposition into a sum of subalgebras.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-282
The work is supported by the Mathematical Center in Akademgorodok under Agreement 075–15–2022–282 on April 5, 2022 with the Ministry of Science and Higher Education of the Russian Federation.
Received: 21.09.2021
Revised: 17.02.2022
Accepted: 15.04.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 4, Pages 637–650
DOI: https://doi.org/10.1134/S0037446622040048
Bibliographic databases:
Document Type: Article
UDC: 512.554.7
Language: Russian
Citation: T. A. Bolotina, V. Yu. Gubarev, “Rota–Baxter operators on the simple Jordan superalgebra $D_t$”, Sibirsk. Mat. Zh., 63:4 (2022), 768–782; Siberian Math. J., 63:4 (2022), 637–650
Citation in format AMSBIB
\Bibitem{BolGub22}
\by T.~A.~Bolotina, V.~Yu.~Gubarev
\paper Rota--Baxter operators on the simple Jordan superalgebra~$D_t$
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 4
\pages 768--782
\mathnet{http://mi.mathnet.ru/smj7691}
\crossref{https://doi.org/10.33048/smzh.2022.63.404}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4460463}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 4
\pages 637--650
\crossref{https://doi.org/10.1134/S0037446622040048}
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