Una propiedad de las álgebras de Lie semisimples con forma de killing indefinida

• Jiménez Alcón, Francisco ^[1]
  1. [1] Universidad de Sevilla

     Universidad de Sevilla

     Sevilla, España

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Nº 21, 1980, págs. 45-47
• Idioma: español
• DOI: 10.5565/publmat_21180_12
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• Resumen

  • "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)"". "