A one-parameter family of dendriform identities

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.

12 pages, LaTEX

References in corpus (2)

• New identities in dendriform algebras
• Free quasi-symmetric functions of arbitrary level