Complete Lie algebras with maximal-rank nilpotent radicals

Authors
Zhu, LS Meng, DJ
Citation
Ls. Zhu et Dj. Meng, Complete Lie algebras with maximal-rank nilpotent radicals, CHIN SCI B, 44(4), 1999, pp. 312-315
Citations number
11
Categorie Soggetti
Multidisciplinary
Journal title
CHINESE SCIENCE BULLETIN
ISSN journal
10016538 → ACNP
Volume
44
Issue
4
Year of publication
1999
Pages
312 - 315
Database
ISI
SICI code
1001-6538(199902)44:4<312:CLAWMN>2.0.ZU;2-L
Abstract
Complete Lie algebras with maximal-rank nilpotent radicals are constructed by using the representation theory of complex semisimple Lie algebras. A st ructure theorem and an isomorphism theorem for this kind of complete Lie al gebras are obtained. As an application of these theorems, the complete Lie algebras with abelian nilpotont radicals are classified. At last, it is pro ved that there exists no complete Lie algebra whose radical is a nilpotent Lie algebra with maximal rank.