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Construction of dendriform trialgebras

Jean-Christophe Novelli, Jean-Yves Thibon

math.COarXiv:math/0510218

Abstract

We realize the free dendriform trialgebra on one generator, as well as several other examples of dendriform trialgebras, as sub-trialgebras of an algebra of noncommutative polynomials in infinitely many variables.

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