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On partial actions of Hopf-Ore extensions (2410.19625v1)
Published 25 Oct 2024 in math.RT, math.QA, and math.RA
Abstract: 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.