The triduplicial operad is Koszul
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].
scientific article; zbMATH DE number 7219061