Partial (co)actions of Taft and Nichols Hopf algebras on algebras

TL;DR

This paper characterizes symmetric partial (co)actions of Taft and Nichols Hopf algebras on algebras, showing that for certain algebras these are all possible partial (co)actions, thus generalizing previous results.

Contribution

It provides a complete characterization of symmetric partial (co)actions of specific Hopf algebras on algebras, extending earlier work.

Findings

Partial (co)actions are symmetric.

For certain algebras, all partial (co)actions are characterized.

Generalizes previous results on Hopf algebra actions.

Abstract

In this paper, we characterize suitable partial (co)actions of Taft and Nichols Hopf algebras on algebras, and moreover we get that such partial (co)actions are symmetric. For certain algebras, these partial (co)actions obtained are, indeed, all of them. This work generalizes the results obtained by the authors in \cite{taft_corpo_revista}.