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arxiv: 0709.3235 · v1 · pith:AX36343Xnew · submitted 2007-09-20 · 🧮 math.CO

A one-parameter family of dendriform identities

classification 🧮 math.CO
keywords dendriformidentitiesbohnenblust-spitzercoloreddialgebraebrahimi-fardfamilyfree
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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.

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