A combinatorial PROP for bialgebras

Fuente: arXiv
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Autor principal: Becerra, Jorge
Formato: Preprint
Publicado: 2021
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author Becerra, Jorge
author_facet Becerra, Jorge
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2106_13107
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle A combinatorial PROP for bialgebras
Becerra, Jorge
Category Theory
18M85, 16T10 (Primary)
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.
title A combinatorial PROP for bialgebras
topic Category Theory
18M85, 16T10 (Primary)
url https://arxiv.org/abs/2106.13107