Braided skew monoidal categories
Category Theory
2020-01-29 v2
Abstract
We introduce the notion of a braiding on a skew monoidal category, whose curious feature is that the defining isomorphisms involve three objects rather than two. These braidings are shown to arise from, and classify, cobraidings (also known as coquasitriangular structures) on bialgebras. Using a multicategorical approach we also describe examples of braidings on skew monoidal categories arising from 2-category theory.
Cite
@article{arxiv.1712.08276,
title = {Braided skew monoidal categories},
author = {John Bourke and Stephen Lack},
journal= {arXiv preprint arXiv:1712.08276},
year = {2020}
}
Comments
v2 is the published version, with various changes and additions, including the relationship between braidings on skew multicategories and braidings on skew monoidal categories