Geodesic
On subvariety of variety generated by a~simple infinite Lie algebra of Cartan type general series~$W_2$
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 2, pp. 125-129

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We consider numerical characteristics of Lie algebras variety over a field of characteristic zero, basically, the exponent of variety. Here, was constructed the infinite series of varieties of Lie algebras with different fractional exponents, which belong to variety generated by a simple infinite Lie algebra of Cartan type general series $W_2$. 
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     author = {O. A. Bogdanchuk},
     title = {On subvariety of variety generated by a~simple infinite {Lie} algebra of {Cartan} type general series~$W_2$},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {125--129},
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O. A. Bogdanchuk. On subvariety of variety generated by a~simple infinite Lie algebra of Cartan type general series~$W_2$. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 2, pp. 125-129. http://geodesic.mathdoc.fr/item/ISU_2014_14_2_a0/