After introducing the concept of
Lie-admissible co-algebras, we study a remarkable class corresponding to co-algebras
whose co-associator satisfies invariance conditions with respect to the
symmetric group 3. We then study the convolution and tensor products. An
interesting class of Lie-admissible co-algebras is obtained by dualizing the
Gi-associative algebras. These Lie-admissible algebras has been introduced and
developed. Let us point out these initially notations.
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