The triduplicial operad is Koszul
type: Item
instance of: scholarly article
title: The triduplicial operad is Koszul
zbMATH Open document ID: 1452.18023
DOI: 10.4171/204-1/7
author: Anthony Mansuy
publication date: 2020-07-09T00:00:00Z
review text: Triduplicial algebras, introduced by Novelli and Thibon, have three products satisfying seven axioms. In this short note, the Koszul dual of the operad of triduplicial algebras is computed. It is proved that it is Koszul, using \textit{V. Dotsenko} and \textit{A. Khoroshkin}'s Gröbner basis rewriting method for operads [Duke Math. J. 153, No. 2, 363--396 (2010; Zbl 1208.18007)]. For the entire collection see [Zbl 1437.05003].
reviewed by: Loïc Foissy
Mathematics Subject Classification ID: 18M60
zbMATH DE Number: 7219061
zbMATH Keywords: triduplicial algebras
zbMATH Keywords: confluent diagrams
describes a project that uses: operads
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/204-1/7
OpenAlex ID: W3001229820
cites work: Gröbner bases for operads
cites work: The infinitesimal Hopf algebra and the poset of planar forests.
cites work: A Poincaré-Birkhoff-Witt criterion for Koszul operads
cites work: Koszul duality for operads
cites work: Algebraic Operads
description: scientific article; zbMATH DE number 7219061