English

A one-parameter family of dendriform identities

Combinatorics 2013-02-12 v1

Abstract

We prove a q-identity in the dendriform dialgebra of colored free quasi-symmetric functions. For q=1, we recover identities due to Ebrahimi-Fard, Manchon, and Patras, in particular the noncommutative Bohnenblust-Spitzer identity.

Keywords

Cite

@article{arxiv.0709.3235,
  title  = {A one-parameter family of dendriform identities},
  author = {Jean-Christophe Novelli and Jean-Yves Thibon},
  journal= {arXiv preprint arXiv:0709.3235},
  year   = {2013}
}

Comments

12 pages, LaTEX

R2 v1 2026-06-21T09:19:32.576Z