Quantum Cocommutative Coalgebras in $^{H}_{H}\mathcal{YD}$ and the Solutions of the Quasi-Yang-Baxter Equation

DOI10.1142/S1005386713000205zbMath1280.16034OpenAlexW1889156620MaRDI QIDQ4923897

Xiaoli Fang, Jinqi Li

Publication date: 27 May 2013

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386713000205

zbMATH Keywords

Yetter-Drinfeld modulesquantum cocommutative coalgebrascoquasi-Hopf algebrasquasi-Yang-Baxter equations

Mathematics Subject Classification ID

Yang-Baxter equations (16T25) Coalgebras and comodules; corings (16T15)

Cites Work

• L-R-smash product for (quasi-)Hopf algebras.
• Generalized diagonal crossed products and smash products for quasi-Hopf algebras. Applications.
• Quasi-quantum groups, knots, three-manifolds, and topological field theory
• Quantum commutative algebras and their duals
• Integrals for (dual) quasi-Hopf algebras. Applications
• Relative Hopf modules for (dual) quasi-Hopf algebras
• Galois Extensions for Coquasi-Hopf Algebras
• Actions of Hopf Algebras in Categories of Yetter-Drinfeld Modules
• Braided bialgebras and quadratic blalgebras
• Yetter-Drinfeld Categories for Quasi-Hopf Algebras
• Doi–Hopf Modules and Yetter–Drinfeld Modules for Quasi-Hopf Algebras
• Dual Quasi-Hopf Algebras and Antipodes

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