Geodesic
On Lie Algebras with Exponential Growth of the Codimensions
Serdica Mathematical Journal, Tome 40 (2014) no. 3-4, pp. 209-240.

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

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 
@article{SMJ2_2014_40_3-4_a1,
     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},
     publisher = {mathdoc},
     volume = {40},
     number = {3-4},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2014_40_3-4_a1/}
}
TY  - JOUR
AU  - Bogdanchuk, O. A.
AU  - Mishchenko, S. P.
AU  - Verëvkin, A. B.
TI  - On Lie Algebras with Exponential Growth of the Codimensions
JO  - Serdica Mathematical Journal
PY  - 2014
SP  - 209
EP  - 240
VL  - 40
IS  - 3-4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2014_40_3-4_a1/
LA  - en
ID  - SMJ2_2014_40_3-4_a1
ER  - 
%0 Journal Article
%A Bogdanchuk, O. A.
%A Mishchenko, S. P.
%A Verëvkin, A. B.
%T On Lie Algebras with Exponential Growth of the Codimensions
%J Serdica Mathematical Journal
%D 2014
%P 209-240
%V 40
%N 3-4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_2014_40_3-4_a1/
%G en
%F SMJ2_2014_40_3-4_a1
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/