Una propiedad de las álgebras de Lie semisimples con forma de killing indefinida
Jiménez Alcón, Francisco (Universidad de Sevilla. Departamento de Geometría y Topología)

Date:	1980
Abstract:	The real connected Lie Groups may be or not the reunion of their uniparametric subgroups. The aim of this note is to study a characterization of the Lie Groups such that are the reunion of their uniparametric subgroups . To begin with, it is proved that if G is a real connected semisimple Lie Group and the Killing form on the Lie Algebra of G is an indefinide form, G is not the reunion of their uniparametric subgroups. It is proved the next result : "Let G be a real connected Lie Group . G is the reunion of their uniparametric subgroups if and only if rad(G) is exponential and the Killing form on the Lie Algebra of G/rad(G) is a definide form (positive or negative)".
Rights:	Tots els drets reservats.
Language:	Castellà
Document:	Article ; recerca ; Versió publicada
Published in:	Publicacions de la Secció de Matemàtiques, V. 21 (1980) p. 45-47, ISSN 0210-2978

Adreça alternativa: https://raco.cat/index.php/PublicacionsSeccioMatematiques/article/view/37313
DOI: 10.5565/PUBLMAT_21180_12

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