The Group of Automorphisms of a Semisimple Hopf Algebra Over a Field of Characteristic 0 is Finite

DOI10.2307/2374718zbMath0699.16008OpenAlexW2315627467MaRDI QIDQ3476998

David E. Radford

Publication date: 1990

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374718

zbMATH Keywords

antipodesintegralsautomorphism groupstracesHopf algebra automorphismsfinite-dimensional semisimple cosemisimple Hopf algebras

Mathematics Subject Classification ID

Related Items (22)

On the even powers of the antipode of a finite-dimensional Hopf algebra ⋮ Hopf algebras of dimension \(pq\). ⋮ The set of types of \(n\)-dimensional semisimple and cosemisimple Hopf algebras is finite ⋮ Freeness of hopf algebras over coideal subalgebras ⋮ Semisimple Hopf algebras via geometric invariant theory ⋮ On smash products of transitive module algebras. ⋮ The crossed structure of Hopf bimodules ⋮ Automorphisms of the doubles of purely non-abelian finite groups ⋮ Twisted exponents and twisted Frobenius–Schur indicators for Hopf algebras ⋮ Graded Quantum Groups and Quasitriangular Hopf Group-Coalgebras ⋮ New Turaev Braided Group Categories Over Entwining Structures ⋮ QUASITRIANGULAR STRUCTURES FOR A CLASS OF POINTED HOPF ALGEBRAS CONSTRUCTED BY ORE EXTENSIONS ⋮ MORPHISMS OF DOUBLE FROBENIUS ALGEBRAS. II ⋮ CLEFT EXTENSIONS FOR A CLASS OF POINTED HOPF ALGEBRAS CONSTRUCTED BY ORE EXTENSIONS ⋮ Automorphism groups of pointed Hopf algebras. ⋮ Involutory Hopf Algebras ⋮ Classification of Semisimple Hopf Algebras ⋮ Hopf Algebras ⋮ Clifford-type algebras as cleft extensions for some pointed hopf algebras ⋮ Twisting Kuperberg invariants via Fox calculus and Reidemeister torsion ⋮ Non-semisimple Hopf algebras of dimension \(p^2\). ⋮ On the quasitriangular structures of a semisimple Hopf algebra

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