JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (4): 80-85.doi: 10.6040/j.issn.1671-9352.0.2018.409

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Reconstruction of the solutions of the generalized Yang-Baxter equation based on crossed structures

WU Hui, ZHANG Xiao-hui*   

  1. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China
  • Published:2019-04-08

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Abstract: The generalized Drinfeld twists over Turaev group-coalgebras generalize the twisting theory over Hopf algebras. Some properties and relations among twists and the representations, and the crossed quasitriangular structures are investigated. Furthermore, a new solution of generalized Yang-Baxter equation from the given ones is obtained.

Key words: Turaev group-coalgebra, Drinfeld twists, crossed group categories, generalized Yang-Baxter equation

CLC Number: 

  • O153.3
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