Combinatorics and simplicial groupoids
Combinatorics
2019-12-30 v1 Algebraic Topology
Category Theory
Abstract
This expository paper starts with a brief survey on the relation between partitions and surjections of sets, and then gives a quick introduction to the theories of incidence algebras, Segal groupoids and combinatorial species. The aim is to explain an objective construction, in terms of simplicial groupoids, of both the Faa di Bruno bialgebra and the plethystic bialgebra.
Cite
@article{arxiv.1912.11655,
title = {Combinatorics and simplicial groupoids},
author = {Alex Cebrian},
journal= {arXiv preprint arXiv:1912.11655},
year = {2019}
}
Comments
15pp. Expository text; written for the EJT2019 volume in the TEMat. It can be read as an introduction to arXiv:1804.09462v3