Purely Hom-Lie bialgebras

DOI10.1007/S11425-016-9102-YzbMath1398.16032arXiv1605.00722OpenAlexW3101167646MaRDI QIDQ1989887

Liqiang Cai, Yun He Sheng

Publication date: 29 October 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00722

zbMATH Keywords

Hom-Lie algebrasManin triplesclassical Hom-Yang-Baxter equationspurely Hom-Lie bialgebras

Mathematics Subject Classification ID

Lie bialgebras; Lie coalgebras (17B62) Derivations, actions of Lie algebras (16W25) Yang-Baxter equations (16T25)

Related Items (17)

Diagonal abelian extensions and morphism-fixed formal deformations of Hom-pre-Lie algebras ⋮ On Hom-pre-Lie bialgebras ⋮ Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids ⋮ Yau-type ternary Hom-Lie bialgebras ⋮ On Hom-F-manifold algebras and quantization ⋮ Cohomologies, deformations and extensions of \(n\)-Hom-Lie algebras ⋮ Twisted Rota-Baxter operators on 3-Hom-Lie algebras ⋮ On Hom-pre-Poisson algebras ⋮ Relative Rota-Baxter operators on Hom-Lie triple systems ⋮ Another approach to Hom-Lie bialgebras via Manin triples ⋮ The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras ⋮ Representations and cohomologies of regular Hom-pre-Lie algebras ⋮ On Hom-Lie superbialgebras ⋮ On the cohomology and extensions of \(n\)-ary multiplicative Hom-Nambu-Lie superalgebras ⋮ Regular Hom-algebras admitting a multiplicative basis ⋮ O -operators on hom-Lie algebras ⋮ Nijenhuis operators on 3-Hom-L-dendriform algebras

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