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Über Automorphismenbahnen von Elementen \(u\neq 0\) mit \((ad\;u)^3=\alpha\;ad\;u\) in endlichdimensionalen einfachen komplexen Lie- Algebren. (German) Zbl 0395.17006

MSC:
17B20 Simple, semisimple, reductive (super)algebras
17B60 Lie (super)algebras associated with other structures (associative, Jordan, etc.)
17C99 Jordan algebras (algebras, triples and pairs)
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References:
[1] HELGASON, S.: Differential Geometry and Symmetric Spaces, Academic Press, New-York and London, 1962 · Zbl 0111.18101
[2] HIRZEBRUCH, U.: Über eine Realisierung der hermiteschen symmetrischen Räume, Math. Zeitschr.115, 371-382, (1970) · Zbl 0193.34303
[3] MEYBERG, K.: Jordan-Tripelsysteme und die Koecher-Konstruktion von Lie-Algebren, Habilitations-schrift, Müchen 1969 · Zbl 0186.34501
[4] MEYBERG, K.: Zur Konstruktion von Lie-Algebren aus Jordan-Tripelsystemen, Manuscripta Math.3, 115-132, (1970) · Zbl 0211.35701
[5] SUGIURA, M.: Conjugate classes of Cartan-subalgebras in real semisimple Lie-algebras, Journal Math. Soc. Japan11, 374-433, (1958) · Zbl 0204.04201
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