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Drinfeld twists for monoidal Hom-bialgebras

Volume 156 / 2019

Xiaohui Zhang, Wei Wang, Xiaofan Zhao Colloquium Mathematicum 156 (2019), 199-228 MSC: 16W10, 16T15. DOI: 10.4064/cm7359-4-2018 Published online: 21 December 2018

Abstract

The aim of this paper is to study relations between monoidal Hom-bialgebras and Hom-bialgebras. Through introducing the notion of Drinfeld twists for monoidal Hom-bialgebras, we conclude that every monoidal Hom-bialgebra is gauge equivalent to a Hom-bialgebra, and gauge equivalent to a special bialgebra.

Authors

  • Xiaohui ZhangSchool of Mathematical Sciences
    Qufu Normal University
    Qufu, Shandong 273165, P.R. China
    e-mail
  • Wei WangDepartment of Mathematics
    Southeast University
    Nanjing, Jiangsu 210096, P.R. China
    e-mail
  • Xiaofan ZhaoCollege of Mathematics and Information Science
    Henan Normal University
    Xinxiang, Henan 453007, P.R. China
    e-mail

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