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Cogebres Lie-admissibles - Lie-admissible coalgebras

Michel Goze·Elisabeth Remm
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Abstract

We present coalgebras of some classes of nonassociative algebras whose associator satisfies invariance conditions given by the action of the 3-order symmetric group. Amongst these algebras we find the well-known Vinberg algebras, the Pre-Lie algebras, the Lie-admissible algebras and the 3-power associative algebras. We study properties between these coalgebras and algebras which generalize the associative case.

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Michel Goze, Elisabeth Remm. 2005-02-15. Cogebres Lie-admissibles - Lie-admissible coalgebras. https://arxiv.org/abs/math/0502318

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