Another approach to Hom-Lie bialgebras via Manin triples

DOI10.1080/00927872.2020.1729365zbMath1472.17075arXiv1903.10007OpenAlexW3100406361MaRDI QIDQ5119308

Li Guo, Cheng-Ming Bai, Yi Tao

Publication date: 3 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.10007

zbMATH Keywords

Manin tripleHom-Lie algebramatched pairclassical Hom-Yang-Baxter equationHom-Lie bialgebra\(\mathcal{O}\)-operatorquasi-triangular Hom-Lie bialgebraboundary Hom-Lie bialgebra

Mathematics Subject Classification ID

Lie bialgebras; Lie coalgebras (17B62) Nonassociative algebras satisfying other identities (17A30) Bialgebras (16T10) Yang-Baxter equations (16T25) Hom-Lie and related algebras (17B61)

Related Items (5)

On Hom-pre-Lie bialgebras ⋮ Drinfeld double for infinitesimal BiHom-bialgebras ⋮ Quasitriangular covariant monoidal BiHom-bialgebras, associative monoidal BiHom-Yang–Baxter equations and Rota–Baxter paired monoidal BiHom-modules ⋮ Lazy 2-cocycle and Radford (m,n)-biproduct ⋮ Matching Rota-Baxter BiHom-algebras and related algebraic structures

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