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

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  • Yuanyuan Chen
  • Liangyun Zhang

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.

Suggested Citation

  • Yuanyuan Chen & Liangyun Zhang, 2018. "Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-10, August.
    • Handle: RePEc:hin:jnlamp:2912578
    DOI: 10.1155/2018/2912578
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