On partial actions of Hopf-Ore extensions

In this work we study how to extend a partial action of a Hopf Algebra $A$ on an algebra $R$ to a partial action of a Hopf-Ore extension of $A$ on $R$. As consequence, we characterize all partial actions of rank one Hopf algebras (in particular, generalized Taft algebras and Radford algebras), under...

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Hauptverfasser: Giraldi, João M. J, Martini, Grasiela, Silva, Leonardo D
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Sprache:eng
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Zusammenfassung:In this work we study how to extend a partial action of a Hopf Algebra $A$ on an algebra $R$ to a partial action of a Hopf-Ore extension of $A$ on $R$. As consequence, we characterize all partial actions of rank one Hopf algebras (in particular, generalized Taft algebras and Radford algebras), under suitable conditions.
DOI:10.48550/arxiv.2410.19625