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Eine Konstruktion von Lie-Algebren aus Jordan-Tripel-Systemen

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Publication:1152447
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DOI10.1007/BF01165535zbMath0461.17005MaRDI QIDQ1152447

Gerd Rhinow

Publication date: 1981

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154770


zbMATH Keywords

construction of real Lie algebras from Jordan triple systemsKoecher-Tits construction


Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Ternary compositions (17A40)


Related Items (1)

Another construction of Lie algebras by generalized Jordan triple systems of second order




Cites Work

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  • Über Automorphismenbahnen von Elementen \(u\neq 0\) mit \((ad\;u)^3=\alpha\;ad\;u\) in endlichdimensionalen einfachen komplexen Lie- Algebren
  • Über eine Klasse von Lie-Algebren
  • Jordan Tripelsysteme und die Koecher-Konstruktion von Lie Algebren
  • Conjugate classes of Cartan subalgebras in real semisimple Lie algebras
  • Zur Konstruktion von Lie-Algebren aus Jordan-Tripelsystemen
  • A new proof of E. Cartan’s theorem on the topology of semi-simple groups
  • A Structure Theory of Lie Triple Systems




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