Hom-Leibniz bialgebras revisited

被引：0
|
作者：
Ma, Tianshui [1 ]
Sun, Yixuan [1 ]
Zhou, Xin [2 ]
机构：
[1] Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Peoples R China
[2] Yili Normal Univ, Sch Math & Stat, Yining 835000, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年
关键词：
Hom-Leibniz bialgebras; classical Hom-Leibniz Yang-Baxter equations; LIE-ALGEBRAS; DEFORMATIONS;
D O I：
10.1142/S0219498825503268
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we re-establish a bialgebraic theory on a Hom-Leibniz algebra by a new dual representation, which weakens the involutive condition on the structure map in [S. Guo, S. X. Wang and X. H. Zhang, The Classical Hom-Leibniz Yang-Baxter Equation and Hom-Leibniz Bialgebras, Mathematics 10 (2022) 1920; I. Laraiedh and S. Silvestrov, Hom-Leibniz bialgebras and BiHom-Leibniz dendriform algebras, Afr. Mat. 34 (2023), Article ID: 28, 45 pp]. We also give the classification of triangular Hom-Leibniz bialgebras on two-dimensional Hom-Leibniz algebras induced by "Yau twist principle".
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页数：24
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