On the codimension growth of finite-dimensional Lie algebras

Authors
Giambruno, A Regev, A Zaicev, M
Citation
A. Giambruno et al., On the codimension growth of finite-dimensional Lie algebras, J ALGEBRA, 220(2), 1999, pp. 466-474
Citations number
13
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
220
Issue
2
Year of publication
1999
Pages
466 - 474
Database
ISI
SICI code
0021-8693(19991015)220:2<466:OTCGOF>2.0.ZU;2-C
Abstract
We study the exponential growth of the codimensions c(n)(L) of a finite-dim ensional Lie algebra L over a field of characteristic zero. We show that if the solvable radical of L is nilpotent then lim(n-->infinity)(n)root c(n)( L) exists and is an integer. (C) 1999 Academic Press.