Geodesic
Asymptotic Behaviour of Colength of Varieties of Lie Algebras
Serdica Mathematical Journal, Tome 26 (2000) no. 2, pp. 145-154

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We study the asymptotic behaviour of numerical characteristics of polynomial identities of Lie algebras over a field of characteristic 0. In particular we investigate the colength for the cocharacters of polynilpotent varieties of Lie algebras. We prove that there exist polynilpotent Lie varieties with exponential and overexponential colength growth. We give the exact asymptotics for the colength of a product of two nilpotent varieties.
Keywords: Lie Algebras With Polynomial Identities, Varieties Of Lie Algebras, Codimensions, Colength 
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     author = {Mishchenko, S. and Zaicev, M.},
     title = {Asymptotic {Behaviour} of {Colength} of {Varieties} of {Lie} {Algebras}},
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Mishchenko, S.; Zaicev, M. Asymptotic Behaviour of Colength of Varieties of Lie Algebras. Serdica Mathematical Journal, Tome 26 (2000) no. 2, pp. 145-154. http://geodesic.mathdoc.fr/item/SMJ2_2000_26_2_a4/