alexa INFINITESIMAL BIALGEBRAS, PRE-LIE AND DENDRIFORM ALGEBRA S
Mathematics

Mathematics

Journal of Generalized Lie Theory and Applications

Author(s): M AGUIAR

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We introduce the categories of infinitesimal Hopf modules an d bimodules over an infin- itesimal bialgebra. We show that they correspond to modules and bimodules over the infinitesimal version of the double. We show that there is a natural, but non -obvious way to construct a pre-Lie algebra from an arbitrary infinitesimal bialgebra and a dend riform algebra from a quasitriangular infinitesimal bialgebra.

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This article was published in Mathematics Subject Classification and referenced in Journal of Generalized Lie Theory and Applications

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