Mitchell Buckley
YOU?
Author Swipe
View article: A Larson-Sweedler Theorem for Hopf V-Categories
A Larson-Sweedler Theorem for Hopf V-Categories Open
The aim of this paper is to extend the classical Larson-Sweedler theorem, namely that a k-bialgebra has a non-singular integral (and in particular is Frobenius) if and only if it is a finite dimensional Hopf algebra, to the `many-object' s…
View article: Oplax Hopf Algebras
Oplax Hopf Algebras Open
We introduce the notion of an oplax Hopf monoid in any braided monoidal bicategory, generalizing that of a Hopf monoid in a braided monoidal category in an appropriate way. We show that Hopf V-categories introduced in [BCV16] are a particu…
View article: THREE STUDIES IN HIGHER CATEGORY THEORY: FIBRATIONS, SKEW-MONOIDAL STRUCTURES AND EXCISION OF EXTREMALS
THREE STUDIES IN HIGHER CATEGORY THEORY: FIBRATIONS, SKEW-MONOIDAL STRUCTURES AND EXCISION OF EXTREMALS Open
Many fundamental constructions from ordinary category theory can be generalised to higher categories. Obvious examples include adjunctions, monads, algebras, limits, and colimits. This thesis explores three cases where a construction from …