Abstract
The problem of classifying the simple real finite-dimensional Jordan triple systems has been reduced to the problem of classifying the involutive automorphisms of the simple compact Jordan triple systems. This classification is given here for the simple compact special Jordan triple systems.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Literatur
BRAUN, H. und KOECHER, M.: Jordan-Algebren. Berlin-Heidelberg New York: Springer 1966
HELWIG, K.-H.: Halbeinfache reelle Jordan-Algebren. Habilitationsschrift, München 1967
HERNTECK, C.: Positivitätsbereiche und Jordan-Strukturen. Dissertation, Münster 1959
JACOBSON, N.: Lie algebras. New York-London-Sydney: Interscience Publishers 1962
JAFFE, H.: Real forms of hermitian symmetric spaces. Bull. of Amer. Math. Soc.81, 456–458, 1975)
KOECHER, M.: An elementary approach to bounded symmetric domains. Lecture notes, Rice University, Houston 1969
LOOS, O.: Lectures on Jordan triples. Lecture notes, University of British Columbia, Vancouver 1971
LOOS, O.: Bounded symmetric domains and Jordan pairs. Lecture notes, University of California at Irvine 1977
MEYBERG, K.: Lectures on algebras and triple systems. Lecture notes, University of Virginia, Charlottesville 1972
NEHER, E.: Cartan-Involutionen von halbeinfachen reellen Jordan-Tripelsystemen. Math. Z.169, 271–292, (1979)
PETERSSON, H. P.: Conjugacy of idempotents in Jordan pairs. Comm. Algebra6, 673–715 (1978)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Neher, E. Klassifikation der einfachen reellen speziellen Jordan-Tripelsysteme. Manuscripta Math 31, 197–215 (1980). https://doi.org/10.1007/BF01303274
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01303274