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Hom--Operators and Hom-Yang-Baxter Equations (2015)

Yuanyuan Chen and Liangyun Zhang

Hindawi

In: Advances in Mathematical Physics

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Publication Date: 2015-08-13

Description: In Hom-Lie set, we introduce the concept of Hom--operators and study its relation with classical Hom-Yang-Baxter equation, as well as left-symmetric Hom-algebras. We construct the corresponding relation between left-symmetric Hom-algebras and Hom-1-cocycles, which are both related to classical Hom-Yang-Baxter equation. Moreover, in Hom-algebra setting, we establish the equivalent relationship between AHYBE (associative Hom-Yang-Baxter equations) and -operators on Frobenius monoidal Hom-algebras.

Print ISSN: 1687-9120

Electronic ISSN: 1687-9139

Topics: Mathematics , Physics

Published by Hindawi

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