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On Lie Algebras with Exponential Growth of the Codimensions
Serdica Mathematical Journal, Tome 40 (2014) no. 3-4, pp. 209-240 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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We study the asymptotic behaviour of the codimension sequence of varieties of Lie algebras variety over a field of characteristic zero. We construct an infinite series of such varieties with different fractional exponents. This extends the special cases known before. 2010 Mathematics Subject Classification: 17B01, 16R10, 16P90.
Keywords: variety of Lie algebras, polynomial identity, codimension sequence, exponent of variety 
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     author = {Bogdanchuk, O. A. and Mishchenko, S. P. and Ver\"evkin, A. B.},
     title = {On {Lie} {Algebras} with {Exponential} {Growth} of the {Codimensions}},
     journal = {Serdica Mathematical Journal},
     pages = {209--240},
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     number = {3-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2014_40_3-4_a1/}
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Bogdanchuk, O. A.; Mishchenko, S. P.; Verëvkin, A. B. On Lie Algebras with Exponential Growth of the Codimensions. Serdica Mathematical Journal, Tome 40 (2014) no. 3-4, pp. 209-240. http://geodesic.mathdoc.fr/item/SMJ2_2014_40_3-4_a1/