2 papers
math.QA2025
Weak Hopf algebra actions as fusion category actions
Alexander Betz
This article develops the theory of fusion categories acting on algebras. We will demonstrate that weak Hopf algebra actions on algebras correspond to specific actions of fusion ca…
math.QA2025
Actions of Fusion Categories on Path Algebras
Alexander Betz
In this article, we introduce the notion of a based action of a fusion category on an algebra. We will build some general theory to motivate our interest in based actions, and then…