Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras
نویسندگان
چکیده
منابع مشابه
The Hom-yang-baxter Equation and Hom-lie Algebras
Motivated by recent work on Hom-Lie algebras, a twisted version of the Yang-Baxter equation, called the Hom-Yang-Baxter equation (HYBE), was introduced by the author in [62]. In this paper, several more classes of solutions of the HYBE are constructed. Some of these solutions of the HYBE are closely related to the quantum enveloping algebra of sl(2), the Jones-Conway polynomial, and Yetter-Drin...
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Motivated by recent work on Hom-Lie algebras and the Hom-Yang-Baxter equation, we introduce a twisted generalization of the classical Yang-Baxter equation (CYBE), called the classical Hom-Yang-Baxter equation (CHYBE). We show how an arbitrary solution of the CYBE induces multiple infinite families of solutions of the CHYBE. We also introduce the closely related structure of Hom-Lie bialgebras, ...
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ژورنال
عنوان ژورنال: Advances in Mathematical Physics
سال: 2018
ISSN: 1687-9120,1687-9139
DOI: 10.1155/2018/2912578