# Asymptotic Behaviour of Colength of Varieties of Lie Algebras

Serdica Mathematical Journal (2000)

- Volume: 26, Issue: 2, page 145-154
- ISSN: 1310-6600

## Access Full Article

top## Abstract

top## How to cite

topMishchenko, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.