On the order of the antipode of hopf algebras

DOI10.1080/00927879908826492zbMath0923.16032OpenAlexW2039081265MaRDI QIDQ4236935

Kashina, Yevgenia

Publication date: 26 August 1999

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

Full work available at URL: https://doi.org/10.1080/00927879908826492

zbMATH Keywords

crossed productssemisimple Hopf algebrasantipodesYetter-Drinfeld modulesfinite dimensional Hopf algebras

Mathematics Subject Classification ID

Twisted and skew group rings, crossed products (16S35)

Related Items

Unnamed Item ⋮ Note on invariance and finiteness for the exponent of Hopf algebras ⋮ Frobenius-Schur indicators and exponents of spherical categories. ⋮ Twisted exponents and twisted Frobenius–Schur indicators for Hopf algebras ⋮ On the exponent of tensor categories coming from finite groups. ⋮ On the antipode of Hopf algebras with the dual Chevalley property ⋮ Hopf algebras and congruence subgroups ⋮ Classification of semisimple Hopf algebras of dimension 16 ⋮ Ribbon transformations, integrals, and triangular decompositions. ⋮ Classification of Semisimple Hopf Algebras ⋮ Hopf Algebras ⋮ On the exponent of finite-dimensional non-cosemisimple Hopf algebras ⋮ On indicators of Hopf algebras. ⋮ Hopf powers and orders for some bismash products.

Cites Work

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• On semisimple Hopf algebras of dimension $pq$
• Semisimple hopf algebras of dimension 2p
• Some further classification results on semisimple hopf algebras
• The $p^n$ theorem for semisimple Hopf algebras