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Construction of dendriform trialgebras

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arxiv math/0510218 v1 pith:R2SS3X6G submitted 2005-10-11 math.CO math.RA

Jean-Christophe Novelli , Jean-Yves Thibon This is my paper · ORCID
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keywords dendriformtrialgebrasalgebraconstructionexamplesfreegeneratorinfinitely
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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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  1. Compatibility axioms for left-regular bands to construct Hopf algebras

    math.CO 2024-11 conditional novelty 6.0 of 10

    Two new compatibility axioms for left-regular bands turn Aguiar and Mahajan's algebra-coalgebra diagram into a diagram of Hopf algebras.

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