Rota–Baxter operators of nonzero weight on the matrix algebra of order three

Rota–Baxter operators of nonzero weight on the matrix algebra of order three Full article

Journal

Linear and Multilinear Algebra
ISSN: 0308-1087

Output data

Year: 2022, Volume: 70, Number: 6, Pages: 1055-1080 Pages count : 26 DOI: 10.1080/03081087.2020.1751036

Tags

16W99; matrix algebra; Rota–Baxter operator; sum of fields

Authors

Goncharov M. ^1,2 , Gubarev V. ^1,2

Affiliations

1	Department of Mathematics and Mechanics, Novosibirsk State University, Novosibirsk, Russian Federation
2	Laboratory of Algebra, Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

Funding (2)

1	Sobolev Institute of Mathematics	0314-2019-0001
2	Russian Science Foundation	19-11-00039

We classify all Rota–Baxter operators of nonzero weight on the matrix algebra of order three over an algebraically closed field of characteristic zero which do not arise from the decompositions of the entire algebra into a direct vector space sum of two subalgebras.

Goncharov M. , Gubarev V.
Rota–Baxter operators of nonzero weight on the matrix algebra of order three
Linear and Multilinear Algebra. 2022. V.70. N6. P.1055-1080. DOI: 10.1080/03081087.2020.1751036 WOS Scopus РИНЦ OpenAlex

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