Geodesic
Correlation of Poisson Algebras and Lie Algebras in the Language of Identities
Matematičeskie zametki, Tome 96 (2014) no. 4, pp. 567-577

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In the paper, the varieties of Poisson algebras whose ideals of identities contain the identity $\{x,y\}\cdot\{z,t\}=0$ are studied, and the correlation of these varieties with varieties of Lie algebras is investigated. A variety of Poisson algebras of almost exponential growth is presented. An example of a variety of Poisson algebras with fractional exponent is also given.
Mots-clés : Poisson algebra
Keywords: Lie algebra, ideal of identities, variety of algebras, almost exponential growth, Specht variety. 
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     author = {S. M. Ratseev},
     title = {Correlation of {Poisson} {Algebras} and {Lie} {Algebras} in the {Language} of {Identities}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {567--577},
     publisher = {mathdoc},
     volume = {96},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_4_a7/}
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S. M. Ratseev. Correlation of Poisson Algebras and Lie Algebras in the Language of Identities. Matematičeskie zametki, Tome 96 (2014) no. 4, pp. 567-577. http://geodesic.mathdoc.fr/item/MZM_2014_96_4_a7/