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Résultats de classification pour les twists gradués d'algèbres de Hopf

Abstract : This thesis work contributes to isomorphism classification 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. Finally, we apply our classification results to a number of concrete examples like special linear groups over finite fields, alternating groups and dihedral groups.
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https://hal.archives-ouvertes.fr/tel-03086465
Contributor : Maeva Paradis <>
Submitted on : Tuesday, December 22, 2020 - 4:45:56 PM
Last modification on : Thursday, February 25, 2021 - 10:32:02 AM

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  • HAL Id : tel-03086465, version 1

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Maeva Paradis. Résultats de classification pour les twists gradués d'algèbres de Hopf. Mathématiques [math]. EDSF, 2020. Français. ⟨tel-03086465⟩

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