(Weak) incidence bialgebras of monoidal categories
Quantum Algebra
2019-04-16 v4 Category Theory
Abstract
Incidence coalgebras of categories in the sense of Joni and Rota are studied, specifically cases where a monoidal product on the category turns these into (weak) bialgebras. The overlap with the theory of combinatorial Hopf algebras and that of Hopf quivers is discussed, and examples including trees, skew shapes, Milner's bigraphs and crossed modules are considered.
Keywords
Cite
@article{arxiv.1803.07897,
title = {(Weak) incidence bialgebras of monoidal categories},
author = {Ulrich Kraehmer and Lucia Rotheray},
journal= {arXiv preprint arXiv:1803.07897},
year = {2019}
}
Comments
16 pages, 25 PNG figures