A new approach to hom-Lie bialgebras

JOURNAL OF ALGEBRA

卷:399

Article

Sheng, Yunhe¹  Bai, Chengming^2,3 

[1] Jilin Univ, Dept Math, Changchun 130012, Jilin, Peoples R China

[2] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

关键词: Hom-Lie algebras;    Hom-Lie bialgebras;    Manin triples;    r-matrices;    O-operators;    Hom-left-symmetric algebras;   

DOI  :  10.1016/j.jalgebra.2013.08.046

来源: Elsevier

【 摘 要 】

In this paper, we introduce a new definition of a hom-Lie bialgebra, which is equivalent to a Manin triple of hom-Lie algebras. We also introduce a notion of an O-operator and then construct solutions of the classical hom-Yang-Baxter equation in terms of O-operators and hom-left-symmetric algebras. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free