Asymptotic Behaviour of Colength of Varieties of Lie Algebras

Mishchenko, S., and Zaicev, M.. "Asymptotic Behaviour of Colength of Varieties of Lie Algebras." Serdica Mathematical Journal 26.2 (2000): 145-154. <http://eudml.org/doc/11485>.

@article{Mishchenko2000,
abstract = {This project was partially supported by RFBR, grants 99-01-00233, 98-01-01020 and 00-15-96128.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.},
author = {Mishchenko, S., Zaicev, M.},
journal = {Serdica Mathematical Journal},
keywords = {Lie Algebras With Polynomial Identities; Varieties Of Lie Algebras; Codimensions; Colength; Lie algebras with polynomial identities; varieties of Lie algebras; codimensions; colength},
language = {eng},
number = {2},
pages = {145-154},
publisher = {Institute of Mathematics and Informatics},
title = {Asymptotic Behaviour of Colength of Varieties of Lie Algebras},
url = {http://eudml.org/doc/11485},
volume = {26},
year = {2000},
}

TY - JOUR
AU - Mishchenko, S.
AU - Zaicev, M.
TI - Asymptotic Behaviour of Colength of Varieties of Lie Algebras
JO - Serdica Mathematical Journal
PY - 2000
PB - Institute of Mathematics and Informatics
VL - 26
IS - 2
SP - 145
EP - 154
AB - This project was partially supported by RFBR, grants 99-01-00233, 98-01-01020 and 00-15-96128.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.
LA - eng
KW - Lie Algebras With Polynomial Identities; Varieties Of Lie Algebras; Codimensions; Colength; Lie algebras with polynomial identities; varieties of Lie algebras; codimensions; colength
UR - http://eudml.org/doc/11485
ER -