Reconstruction of the solutions of the generalized Yang-Baxter equation based on crossed structures. (Chinese. English summary) Zbl 1438.16061
Summary: 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.