A one-parameter family of dendriform identities

  • Authors:

  • Jean-Christophe Novelli;Jean-Yves Thibon

  • Affiliations:

  • Institut Gaspard-Monge, Université Paris-Est, 5 Boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée cedex 2, France;Institut Gaspard-Monge, Université Paris-Est, 5 Boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée cedex 2, France

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2009

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Abstract

We prove a q-identity in the dendriform algebra 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.