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

Yuanyuan Chen and Liangyun Zhang

Advances in Mathematical Physics, 2018, vol. 2018, 1-10

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:2912578

DOI: 10.1155/2018/2912578

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