Hom‐Yang‐Baxter Equations and Frobenius Monoidal Hom‐Algebras

Yuanyuan Chen and Liangyun Zhang

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: It is shown that quasi‐Frobenius Hom‐Lie algebras are connected with a class of solutions of the classical Hom‐Yang‐Baxter equations. Moreover, a similar relation is discussed on Frobenius (symmetric) monoidal Hom‐algebras and solutions of quantum Hom‐Yang‐Baxter equations. Monoidal Hom‐Hopf algebras with Frobenius structures are studied at last.

Date: 2018
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https://doi.org/10.1155/2018/2912578

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:2912578

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