Le module dendriforme sur le groupe cyclique
Quantum Algebra
2007-05-23 v1
Abstract
The structure of anticyclic operad on the Dendriform operad defines in particular a matrix of finite order acting on the vector space spanned by planar binary trees. We compute its characteristic polynomial and propose a (compatible) conjecture for the characteristic polynomial of the Coxeter transformation for the Tamari lattice, which is mostly a square root of this matrix.
Cite
@article{arxiv.0704.1795,
title = {Le module dendriforme sur le groupe cyclique},
author = {Frédéric Chapoton},
journal= {arXiv preprint arXiv:0704.1795},
year = {2007}
}
Comments
12 pages