Lie Algebras With Polynomial Identities Varieties Of Lie Algebras Codimensions Colength
Issue Date:
2000
Publisher:
Institute of Mathematics and Informatics
Citation:
Serdica Mathematical Journal, Vol. 26, No 2, (2000), 145p-154p
Abstract:
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.
Description:
This project was partially supported by RFBR, grants 99-01-00233, 98-01-01020 and
00-15-96128.
