Rota-Baxter operators on quadratic algebras

DOI10.1007/s00009-018-1234-5zbMath1431.17003arXiv1801.07037OpenAlexW2784496575MaRDI QIDQ1756932

Pilar Benito, Vsevolod Yur'evich Gubarev, Alexander P. Pozhidaev

Publication date: 28 December 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07037

zbMATH Keywords

quadratic algebramatrix algebraYang-Baxter equationGrassmann algebraRota-Baxter operatorKaplansky superalgebraJordan algebra of bilinear form

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Yang-Baxter equations (16T25) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Related Items

Rota–Baxter operators of nonzero weight on the matrix algebra of order three, Rota-Baxter operators on the simple Jordan superalgebra \(D_t \), Rota-Baxter operators of nonzero weight on a complete linear Lie algebra of order two, Monomial Rota-Baxter operators of nonzero weight on \(F[x, y\) coming from averaging operators], Monomial Rota-Baxter operators on free commutative non-unital algebra, Unnamed Item, Rota–Baxter operators on a sum of fields, Rota-type operators on 3-dimensional nilpotent associative algebras, Rota-type operators on null-filiform associative algebras, Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras, Rota-Baxter operators on unital algebras

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