Signaletic operads - Laboratoire Interdisciplinaire des Sciences du Numérique Access content directly
Preprints, Working Papers, ... Year : 2019

Signaletic operads

Abstract

We introduce $k$-signaletic operads and their Koszul duals, generalizing the dendriform, diassociative and duplicial operads (which correspond to the $k=1$ case). We show that the Koszul duals of the $k$-signaletic operads act on multipermutations and that the resulting algebras are free, thus providing combinatorial models for these operads. Finally, motivated by these actions on multipermutations, we introduce similar operations on multiposets which yield yet another relevant operad obtained as Manin powers of the $L$-operad.
Fichier principal
Vignette du fichier
signaleticOperads.pdf (1.35 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02997608 , version 1 (10-11-2020)

Identifiers

Cite

Florent Hivert, Vincent Pilaud. Signaletic operads. 2019. ⟨hal-02997608⟩
23 View
43 Download

Altmetric

Share

Gmail Facebook X LinkedIn More