Quasitriangular Structures for a Class of Hopf Algebras of Dimensionp6

DOI10.1081/AGB-120028788zbMath1079.16030OpenAlexW2071030306MaRDI QIDQ4678732

Yang-Gon Kim, Shuan-Hong Wang

Publication date: 23 May 2005

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

Full work available at URL: https://doi.org/10.1081/agb-120028788

zbMATH Keywords

Morita contextsquasitriangular Hopf algebraspointed Hopf algebrastwisted smash productsMaschke type theorems

Mathematics Subject Classification ID

Related Items (8)

Maschke-Type Theorem, Duality Theorem, and the Global Dimension for Weak Crossed Products ⋮ On L-R Smash Products of Hopf Algebras ⋮ THE CALABI–YAU PROPERTY OF TWISTED SMASH PRODUCTS ⋮ Singular Solutions to the Quantum Yang–Baxter Equations ⋮ On Twisted Smash Products of Monoidal Hom–Hopf Algebras ⋮ Constructing Quasitriangular Multiplier Hopf Algebras By Twisted Tensor Coproducts ⋮ Constructing Quasitriangular Hopf Algebras ⋮ Coquasitriangular Hopf Group Algebras and Drinfel'd Co-Doubles

Cites Work

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• Braided tensor categories
• Semisimple Hopf algebras
• Hopf algebras of order \(p^2\) and braided Hopf algebras of order \(p\)
• Constructing pointed Hopf algebras by Ore extensions
• QUASITRIANGULAR STRUCTURES FOR A CLASS OF POINTED HOPF ALGEBRAS CONSTRUCTED BY ORE EXTENSIONS
• Two dual classes of bialgebras related to the concepts of “quantum group” and “quantum lie algebra”
• On twisted smash products for bimodule algebras and the drinfeld double
• A class of noncommutative and noncocommutative hopf algebras: the quantum version
• Multiplication alteration by two-cocycles - the quantum version

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