Xiaohui Zhang, Zhe Wang: Twists for weak Turaev $\pi$-coalgebras, 321-332

Abstract:

The main purpose of the present paper is to introduce the twists for the weak Turaev $\pi$-coalgebras. We mainly show that a new weak Turaev $\pi$-coalgebra could be constructed from the given one through the twists. The relationship between their representations is also discussed.

Key Words: Twist, crossed $\pi$-category, weak Turaev $\pi$-coalgebra, quasitriangular structure.

2020 Mathematics Subject Classification: Primary 16T05; Secondary 16W50.

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