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Journal of Lie Theory 23 (2013), No. 3, 795--801
Copyright Heldermann Verlag 2013

The Dynkin Theorem for Multilinear Lie Elements

Askar Dzhumadil'daev
Kazakh-British Technical University, Tole bi 59, Almaty 050000, Kazakhstan

We establish a generalization of the Dynkin theorem for multilinear elements. It allows us to construct the presentation of a multilinear Lie element as a linear combination of base Lie elements.

Keywords: Dynkin idempotent, Lie elements, Free Lie algebra.

MSC: 17B01, 05E99, 05A30

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