Structure of perfect Lie algebras without center and outer derivations
type: Item
instance of: scholarly article
title: Structure of perfect Lie algebras without center and outer derivations
zbMATH Open document ID: 0874.17002
author: Saïd Benayadi
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 1997-07-17T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73383
review text: Let \(L\) be a Lie algebra over the real or complex numbers which is perfect and complete. The author calls such an algebra sympathetic. He constructs a 25-dimensional example and shows that any sympathetic algebra can be decomposed uniquely into the sum of irreducible sympathetic ideals. He shows the existence of a maximal sympathetic ideal called the sympathetic radical and studies its properties which include a version of the Levi-Malcev Theorem. Many related results are shown in this paper.
Mathematics Subject Classification ID: 17B05
zbMATH DE Number: 1013908
zbMATH Keywords: sympathetic Lie algebra
zbMATH Keywords: sympathetic ideals
zbMATH Keywords: sympathetic radical
reviewed by: Ernest L. Stitzinger
MaRDI profile type: Publication
OpenAlex ID: W2072203882
cites work: Q3791307
cites work: Q4273065
cites work: Q4014839
cites work: Certaines propriétés d'une classe d'algèbres de Lie qui généralisent les algèbres de Lie semi-simples
cites work: Q5614712
DOI: 10.5802/AFST.828
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description: scientific article; zbMATH DE number 1013908