Partial actions: What they are and why we care

TL;DR

This paper surveys recent advances in the theory of partial actions of groups and Hopf algebras, highlighting their significance and applications in algebra and related fields.

Contribution

It provides a comprehensive overview of the latest developments in partial actions, clarifying their importance and potential uses.

Findings

Summarizes key recent results in partial actions.

Highlights applications in algebra and quantum groups.

Identifies open problems and future directions.

Abstract

In this work, we give a survey of recent developments in the theory of partial actions of groups and Hopf algebras.