A combinatorial PROP for bialgebras
arXiv:2106.13107 · doi:10.1016/j.ejc.2024.104086
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.
30 pages, 5 figures