Abstract:Prompted by an inquiry of Manin on whether a coacting Hopf-type structure [Formula: see text] and an algebra [Formula: see text] that is coacted upon share algebraic properties, we study the particular case of [Formula: see text] being a path algebra [Formula: see text] of a finite quiver [Formula: see text] and [Formula: see text] being Hayashi’s face algebra [Formula: see text] attached to [Formula: see text]. This is motivated by the work of Huang, Wicks, Won and the second author, where it was established … Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.