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