On Lie Algebras with Exponential Growth of the Codimensions

Bogdanchuk, O. A., Mishchenko, S. P., and Verëvkin, A. B.. "On Lie Algebras with Exponential Growth of the Codimensions." Serdica Mathematical Journal 40.3-4 (2014): 209-240. <http://eudml.org/doc/294996>.

@article{Bogdanchuk2014,
abstract = {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.},
author = {Bogdanchuk, O. A., Mishchenko, S. P., Verëvkin, A. B.},
journal = {Serdica Mathematical Journal},
keywords = {variety of Lie algebras; polynomial identity; codimension sequence; exponent of variety},
language = {eng},
number = {3-4},
pages = {209-240},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {On Lie Algebras with Exponential Growth of the Codimensions},
url = {http://eudml.org/doc/294996},
volume = {40},
year = {2014},
}

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
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 40
IS - 3-4
SP - 209
EP - 240
AB - 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.
LA - eng
KW - variety of Lie algebras; polynomial identity; codimension sequence; exponent of variety
UR - http://eudml.org/doc/294996
ER -