A simplicial approach to multiplier bimonoids
Category Theory
2019-07-08 v2 Quantum Algebra
Abstract
Although multiplier bimonoids in general are not known to correspond to comonoids in any monoidal category, we classify them in terms of maps from the Catalan simplicial set to another suitable simplicial set; thus they can be regarded as (co)monoids in something more general than a monoidal category (namely, the simplicial set itself). We analyze the particular simplicial maps corresponding to that class of multiplier bimonoids which can be regarded as comonoids.
Keywords
Cite
@article{arxiv.1512.01259,
title = {A simplicial approach to multiplier bimonoids},
author = {Gabriella Böhm and Stephen Lack},
journal= {arXiv preprint arXiv:1512.01259},
year = {2019}
}
Comments
14 pages; v2 minor changes only, to appear in Bulletin of the Belgian Mathematical Society -- Simon Stevin