Geodesic
The Heisenberg envelope for the Hochschild algebra of a finite-dimensional Lie algebra
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 5, pp. 147-155 
Yu. P. Razmyslov; G. A. Pogudin. The Heisenberg envelope for the Hochschild algebra of a finite-dimensional Lie algebra. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 5, pp. 147-155. http://geodesic.mathdoc.fr/item/FPM_2012_17_5_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider some kind of Hopf algebra assigned to any finite-dimensional Lie algebra. This algebra was pointed out by Hochschild. We prove several statements on its embeddings into an algebra of formal power series. In particular, we obtain similar results for Lie algebras. More precisely, a Lie algebra can be embedded into a Lie algebra of special derivations with coefficients in rational functions in (quasi)polynomials.

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