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

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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 
@article{SMJ2_2000_26_2_a4,
     author = {Mishchenko, S. and Zaicev, M.},
     title = {Asymptotic {Behaviour} of {Colength} of {Varieties} of {Lie} {Algebras}},
     journal = {Serdica Mathematical Journal},
     pages = {145--154},
     publisher = {mathdoc},
     volume = {26},
     number = {2},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2000_26_2_a4/}
}
TY  - JOUR
AU  - Mishchenko, S.
AU  - Zaicev, M.
TI  - Asymptotic Behaviour of Colength of Varieties of Lie Algebras
JO  - Serdica Mathematical Journal
PY  - 2000
SP  - 145
EP  - 154
VL  - 26
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2000_26_2_a4/
LA  - en
ID  - SMJ2_2000_26_2_a4
ER  - 
%0 Journal Article
%A Mishchenko, S.
%A Zaicev, M.
%T Asymptotic Behaviour of Colength of Varieties of Lie Algebras
%J Serdica Mathematical Journal
%D 2000
%P 145-154
%V 26
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_2000_26_2_a4/
%G en
%F SMJ2_2000_26_2_a4
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/