A combinatorial PROP for bialgebras

Jorge Becerra

doi:10.1016/j.ejc.2024.104086

A combinatorial PROP for bialgebras

Jorge Becerra

Dynamical Systems, Geometry and Mathematical Physics

Research output: Contribution to journal › Article › Academic › peer-review

18 Downloads (Pure)

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.

Original language	English
Article number	104086
Number of pages	27
Journal	European Journal of Combinatorics
Volume	124
DOIs	https://doi.org/10.1016/j.ejc.2024.104086
Publication status	Published - Feb-2025

Access to Document

10.1016/j.ejc.2024.104086Licence: CC BY

A combinatorial PROP for bialgebrasFinal publisher's version, 624 KBLicence: CC BY

Handle.net

Persistent link

Cite this

@article{91ffd3f87eb94557bb606466e8ea0e60,

title = "A combinatorial PROP for bialgebras",

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.",

author = "Jorge Becerra",

note = "Publisher Copyright: {\textcopyright} 2024 The Author(s)",

year = "2025",

month = feb,

doi = "10.1016/j.ejc.2024.104086",

language = "English",

volume = "124",

journal = "European Journal of Combinatorics",

issn = "0195-6698",

}

TY - JOUR

T1 - A combinatorial PROP for bialgebras

AU - Becerra, Jorge

PY - 2025/2

Y1 - 2025/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85208064744&partnerID=8YFLogxK

U2 - 10.1016/j.ejc.2024.104086

DO - 10.1016/j.ejc.2024.104086

M3 - Article

AN - SCOPUS:85208064744

SN - 0195-6698

VL - 124

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

M1 - 104086

ER -

A combinatorial PROP for bialgebras

Abstract

Access to Document

Handle.net

Other files and links

Fingerprint

Cite this