A combinatorial PROP for bialgebras

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.

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Publication Details

Journal
European Journal of Combinatorics
Published
2024-11-05
DOI
https://doi.org/10.1016/j.ejc.2024.104086
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

A combinatorial PROP for bialgebras

Jorge Becerra
European Journal of Combinatorics
Geometric and Algebraic Topology
article

A combinatorial PROP for bialgebras

Jorge Becerra
article en

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.

European Journal of CombinatoricsVol. 124
University of Groningen (NL)
Openalex Percentile: Top 69%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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A combinatorial PROP for bialgebras — Jorge Becerra · European Journal of Combinatorics (2024) | TGRS Research Map | TGRS