Rota-Baxter operators and non-skew-symmetric solutions of the classical Yang-Baxter equation on quadratic Lie algebras

DOI10.33048/semi.2019.16.149zbMath1439.17020arXiv1909.11312OpenAlexW3016041673MaRDI QIDQ2285215

M. E. Goncharov

Publication date: 16 January 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11312

zbMATH Keywords

classical Yang-Baxter equationquadratic Lie algebraRota-Baxter operatornon-associative bialgebra

Mathematics Subject Classification ID

Lie bialgebras; Lie coalgebras (17B62) Mal'tsev rings and algebras (17D10) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (3)

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 cocommutative Hopf algebras

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