English

A combinatorial PROP for bialgebras

Category Theory 2024-11-20 v2

Abstract

It is a classical result that the category of finitely-generated free monoids serves as a PROP for commutative bialgebras. Attaching permutations to fix the order of multiplication, we construct an extension of this category that is equivalent to the PROP for bialgebras.

Keywords

Cite

@article{arxiv.2106.13107,
  title  = {A combinatorial PROP for bialgebras},
  author = {Jorge Becerra},
  journal= {arXiv preprint arXiv:2106.13107},
  year   = {2024}
}

Comments

30 pages, 5 figures

R2 v1 2026-06-24T03:33:53.648Z