Geodesic
On Poisson customary polynomial identities
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 2, pp. 150-155 
S. M. Ratseev. On Poisson customary polynomial identities. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 2, pp. 150-155. http://geodesic.mathdoc.fr/item/ISU_2014_14_2_a4/
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     title = {On {Poisson} customary polynomial identities},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We study Poisson customary and Poisson extended customary polynomials. We show that the sequence of codimensions $\{r_n(V)\}_{n\geq1}$ of every extended customary space of variety $V$ of Poisson algebras over an arbitrary field is either bounded by a polynomial or at least exponential. Furthermore, if this sequence is bounded by polynomial then there is a polynomial $R(x)$ with rational coefficients such that $r_n(V)=R(n)$ for all sufficiently large $n$. We present lower and upper bounds for the polynomials $R(x)$ of an arbitrary fixed degree.

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