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Some isomorphism results for graded twistings of function algebras on finite groups

Abstract : We provide isomorphism results for Hopf algebras that are obtained as graded twistings of function algebras on finite groups by cocentral actions of cyclic groups. More generally , we also consider the isomorphism problem for finite-dimensional Hopf algebras fitting into abelian cocentral extensions. We apply our classification results to a number of concrete examples involving special linear groups over finite fields, alternating groups and dihedral groups.
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https://hal.uca.fr/hal-02504142
Contributor : Julien Bichon <>
Submitted on : Tuesday, March 10, 2020 - 2:56:03 PM
Last modification on : Thursday, March 12, 2020 - 1:41:52 AM

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  • HAL Id : hal-02504142, version 1
  • ARXIV : 2003.05172

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Julien Bichon, Maeva Paradis. Some isomorphism results for graded twistings of function algebras on finite groups. 2020. ⟨hal-02504142⟩

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