On partial actions of Hopf-Ore extensions
Jo\~ao M. J. Giraldi, Grasiela Martini, Leonardo D. Silva
TL;DR
This paper investigates how partial actions of Hopf algebras can be extended to Hopf-Ore extensions and characterizes all partial actions of rank one Hopf algebras, including generalized Taft and Radford algebras.
Contribution
It introduces a method to extend partial actions to Hopf-Ore extensions and characterizes all partial actions of certain rank one Hopf algebras.
Findings
Extension method for partial actions to Hopf-Ore extensions
Complete characterization of partial actions of rank one Hopf algebras
Application to generalized Taft and Radford algebras
Abstract
In this work we study how to extend a partial action of a Hopf Algebra on an algebra to a partial action of a Hopf-Ore extension of on . As consequence, we characterize all partial actions of rank one Hopf algebras (in particular, generalized Taft algebras and Radford algebras), under suitable conditions.
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Taxonomy
TopicsAdvanced Algebra and Logic · Rings, Modules, and Algebras · Advanced Topics in Algebra