Per citar aquest document: http://ddd.uab.cat/record/50203
Una propiedad de las álgebras de Lie semisimples con forma de killing indefinida
Jiménez Alcón, Francisco

Data: 1980
Resum: 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)".
Drets: Tots els drets reservats
Llengua: Castellà.
Document: article ; recerca ; publishedVersion
Publicat a: Publicacions de la Secció de Matemàtiques, V. 21 (1980) p. 45-47, ISSN 0210-2978

DOI: 10.5565/PUBLMAT_21180_12


3 p, 65.0 KB

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