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The Order of the Antipode of Finite-dimensional Hopf Algebra

Examples of finite-dimensional Hopf algebras over a field, whose antipodes have arbitrary even orders ≥4 as mappings, are furnished. The dimension of the Hopf algebra is q(n+1), where the antipode has order 2q, q ≥ 2, and n is an arbitrary positive integer. The algebras are not semisimple, and neith...

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Détails bibliographiques
Publié dans:Proc Natl Acad Sci U S A
Auteur principal: Taft, Earl J.
Format: Artigo
Langue:Inglês
Publié: National Academy of Sciences 1971
Sujets:
Accès en ligne:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC389488/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16591950/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.68.11.2631
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