Hom- -Operators and Hom-Yang-Baxter Equations

Yuanyuan Chen and Liangyun Zhang

Advances in Mathematical Physics, 2015, vol. 2015, 1-11

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:823756

DOI: 10.1155/2015/823756

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