Oplax Hopf Algebras
Category Theory
2020-08-28 v4 Rings and Algebras
Abstract
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 particular type of oplax Hopf monoids in the monoidal bicategory Span|V described in [B\"oh17]. Finally, we introduce Frobenius V-categories as the Frobenius objects in the same monoidal bicategory.
Keywords
Cite
@article{arxiv.1710.01465,
title = {Oplax Hopf Algebras},
author = {Mitchell Buckley and Timmy Fieremans and Christina Vasilakopoulou and Joost Vercruysse},
journal= {arXiv preprint arXiv:1710.01465},
year = {2020}
}
Comments
42 pages; numerous substantial changes and additions throughout the paper, to appear in `Higher Structures'