On Rota-Baxter operators of non-zero weight arisen from the solutions of the classical Yang-Baxter equation
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Publication:1707933
DOI10.17377/semi.2017.14.132zbMath1384.16024arXiv1711.02327OpenAlexW2767523701MaRDI QIDQ1707933
Publication date: 4 April 2018
Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.02327
Lie algebraclassical Yang-Baxter equationMalcev algebraRota-Baxter operatoranti-commutative algebranon-associative bialgebra
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie bialgebras; Lie coalgebras (17B62) Mal'tsev rings and algebras (17D10) Yang-Baxter equations (16T25)
Related Items
Rota-Baxter operators of nonzero weight on a complete linear Lie algebra of order two, Quasi-triangular pre-Lie bialgebras, factorizable pre-Lie bialgebras and Rota-Baxter pre-Lie algebras, Factorizable Lie bialgebras, quadratic Rota-Baxter Lie algebras and Rota-Baxter Lie bialgebras, Rota-Baxter operators on quadratic algebras, Rota-Baxter operators on cocommutative Hopf algebras, Rota-Baxter operators and non-skew-symmetric solutions of the classical Yang-Baxter equation on quadratic Lie algebras, Rota-Baxter operators on unital algebras, Double Lie algebras of a nonzero weight
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