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

Francisco Jiménez Alcón

• "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)"". "