On the quasitriangular structures of a semisimple Hopf algebra

DOI10.1016/0021-8693(91)90236-2zbMath0733.16015OpenAlexW2069512802MaRDI QIDQ810118

David E. Radford

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90236-2

zbMATH Keywords

finite-dimensional Hopf algebragroup of Hopf algebra automorphismsquasitriangularsemisimple, cosemisimple and involutory

Mathematics Subject Classification ID

Related Items (12)

Braided groups ⋮ Indecomposability of weak Hopf algebras ⋮ Transmutation theory and rank for quantum braided groups ⋮ Polynomial invariants for a semisimple and cosemisimple Hopf algebra of finite dimension. ⋮ Categorical Hopf kernels and representations of semisimple Hopf algebras. ⋮ Quasitriangular structures of the double of a finite group ⋮ Cocycle deformations, braided monoidal categories and quasitriangularity ⋮ The braided structures for \(\omega\)-smash coproduct Hopf algebras. ⋮ Braided bialgebras and quadratic blalgebras ⋮ Singular Solutions to the Quantum Yang–Baxter Equations ⋮ Quasitriangular structures of bicrossed coproducts ⋮ THE QUASITRIANGULAR STRUCTURES FOR ω-SMASH COPRODUCT HOPF ALGEBRAS

Cites Work

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• Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
• Integrals for Hopf algebras
• The Group of Automorphisms of a Semisimple Hopf Algebra Over a Field of Characteristic 0 is Finite
• Semisimple Cosemisimple Hopf Algebras

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