Lie algebras with almost dimensionally nilpotent inner derivations

Authors
Zhou, JH
Citation
Jh. Zhou, Lie algebras with almost dimensionally nilpotent inner derivations, LIN ALG APP, 320(1-3), 2000, pp. 97-114
Citations number
6
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
320
Issue
1-3
Year of publication
2000
Pages
97 - 114
Database
ISI
SICI code
0024-3795(20001115)320:1-3<97:LAWADN>2.0.ZU;2-M
Abstract
The structure of the Lie algebras with almost dimensionally nilpotent inner derivations is studied. It is proved that, if the base held is of characte ristic 0, then, when d > 6 is odd, there exist just two d-dimensional Lie a lgebras; when d > 6 is even, there exists just one d-dimensional Lie algebr a such that these Lie algebras are nonsolvable and have some almost dimensi onally nilpotent inner derivations. (C) 2000 Elsevier Science Inc. All righ ts reserved. AMS classification: 17B30.