Hom‐O‐Operators and Hom‐Yang‐Baxter Equations

Yuanyuan Chen and Liangyun Zhang

Advances in Mathematical Physics, 2015, vol. 2015, issue 1

Abstract: In Hom‐Lie set, we introduce the concept of Hom‐O‐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 O‐operators on Frobenius monoidal Hom‐algebras.

Date: 2015
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https://doi.org/10.1155/2015/823756

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:823756

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