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Notes on Yetter-Drinfeld algebras over Hopf algebras (2211.02189v2)
Published 3 Nov 2022 in math.QA and math.RA
Abstract: In this work, we study another characterization of Yetter-Drinfeld algebras over finite-dimensional Hopf algebras. We show the equivalence between this characterization, called the "only coaction" characterization, and the standard "action-coaction" characterization. This modern approach for Yetter-Drinfeld algebras is one of the key ingredient in a self-dual theory of quantum transformation groupoids arising from actions of quantum groups.