Some further classification results on semisimple hopf algebras

DOI10.1080/00927879608825569zbMath0845.16037OpenAlexW1971202191MaRDI QIDQ4868182

Akira Masuoka

Publication date: 2 September 1996

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

Full work available at URL: https://doi.org/10.1080/00927879608825569

zbMATH Keywords

group-like elementssemisimple Hopf algebras

Mathematics Subject Classification ID

Related Items (18)

On biproducts and extensions ⋮ Unnamed Item ⋮ Weakly group-theoretical and solvable fusion categories ⋮ On the classification of finite-dimensional semisimple Hopf algebras ⋮ Finite quantum groups and quantum permutation groups. ⋮ On finite-dimensional semisimple Hopf algebras of dimension \(n(n+1)\). ⋮ Frobenius-Schur indicators in Tambara-Yamagami categories ⋮ On semisimple Hopf algebras of dimension \(2^{m}\). II ⋮ Classification of semisimple Hopf algebras of dimension 16 ⋮ Fusion rings arising from normal Hopf subalgebras. ⋮ Some advances about the existence of compact involutions in semisimple Hopf algebras ⋮ Group elements of some semisimple finite-dimensional Hopf algebras. ⋮ Biproducts and Kashina's Examples ⋮ On Kaplansky's fifth conjecture ⋮ On semisimple Hopf algebras of dimension \(pq^2\) ⋮ A survey of Hopf algebras of low dimension. ⋮ On a Class of Finite-dimensional Semisimple Hopf Algebras ⋮ On the order of the antipode of hopf algebras

Cites Work

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• The structure of Hopf algebras with a projection
• Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
• Normal basis and transitivity of crossed products for Hopf algebras
• Coideal subalgebras in finite Hopf algebras
• Semisimple Hopf algebras of dimension \(12\)
• On finite dimensional semisimple hopf algebras
• A Hopf Algebra Freeness Theorem
• Matched pairs of groups and bismash products of hopf algebras
• Freeness of hopf algebras over coideal subalgebras
• Genaralization fo cleft comodule algabras
• Cleft extensions for a hopf algebra generated by a nearly primitive element
• Semisimple hopf algebras of dimension 2p
• The $p^n$ theorem for semisimple Hopf algebras

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