Drinfeld Double for Infinitesimal BiHom-bialgebras

被引：0
|
作者：
Tianshui Ma
Haiyan Yang
机构：
[1] Henan Normal University,School of Mathematics and Information Science
来源：
Advances in Applied Clifford Algebras | 2020年 / 30卷
关键词：
Quasitriangular covariant BiHom-bialgebra; Infinitesimal BiHom-bialgebra; Associative BiHom-Yang-Baxter equation; Drinfeld double for infinitesimal BiHom-bialgebra; 16W99; 16T99;
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摘要：
The BiHom-version of infinitesimal bialgebra was studied in [22]. In this paper, the notion of covariant BiHom-bialgebra is introduced generalizing infinitesimal BiHom-bialgebra above. Especially, we give the characterizations of quasitriangular covariant BiHom-bialgebra, then we obtain the concepts of associative BiHom-Yang-Baxter pair and associative BiHom-Yang-Baxter equation. Furthermore, we present the construction of the Drinfeld double for infinitesimal BiHom-bialgebra from the double BiHom-algebra.
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