Literatur
Albert, A.A.: A structure theory for Jordan algebras. Ann. of Math.48, 546–567 (1947).
—, Jacobson, N.: On reduced exceptional simple Jordan algebras. Ann. of Math.66, 400–417 (1957).
Braun, H., Koecher, M.: Jordan-Algebren, Bd. 128. Berlin-Heidelberg-New York: Springer 1966.
Crittenden, R.: Minimum and conjugate points in symmetric spaces. Canadian J. Math.14, 320–328 (1962).
Helgason, S.: Differential geometry and symmetric spaces. New York and London: Academic Press 1962.
—: The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds. Acta Math.113, 153–180 (1965).
—: Totally geodesic spheres in compact symmetric spaces. Math. Ann.165, 309–317 (1966).
Helwig, K.-H.: Eine Verallgemeinerung der formal-reellen Jordan-Algebren. Inventiones math.1, 18–35 (1966).
—: Halbeinfache reelle Jordan-Algebren. Math. Z.109, 1–28 (1969).
—: Involutionen von Jordan-Algebren. Manuscripta Math.1, 211–229 (1969).
Hirzebruch, U.: Halbräume und ihre holomorphen Automorphismen. Math. Ann.153, 395–417 (1964).
—: Über Jordan-Algebren und kompakte Riemannsche Räume vom Rang 1. Math. Z.90, 339–354 (1965).
—: Über Jordan-Algebren und beschränkte symmetrische Gebiete. Math. Z.94, 387–390 (1966).
Kobayashi, S., Nomizu, K.: Foundations of differential geometry. Vol. I und Vol. II. New York and London: Interscience Publishers 1963 und 1969.
Koecher, M.: Jordan algebras and their applications. Lecture notes, Univ. of Minnesota, Minneapolis 1962.
—: Imbedding of Jordan algebras into Lie algebras, II. Amer. J. Math.90, 476–510 (1968).
—: An elementary approach to bounded symmetric domains. Lecture notes, Rice University, Houston, Texas 1969.
Loos, O.: Symmetric spaces I: General theory. New York and Amsterdam: Benjamin 1969.
Meyberg, K.: Über die Lie-Algebren der Derivationen und der linksregulären Darstellungen in zentral-einfachen Jordan-Algebren. Math. Z.93, 37–47 (1966).
Milnor, J.: Morse theory. Annals of Math. Studies 51. Princeton University Press 1963.
Resnikoff, H.L.: The maximum modulus principle for tube domains over domains of positivity. Math. Ann.156, 340–346 (1964).
Warner, F.W.: Conjugate loci of constant order. Ann. of Math.86, 192–212 (1967).
Wong, Y.C.: Differential geometry of Grassmann manifolds. Proc. Nat. Acad. Sci. USA57, 589–594 (1967).
—: Euclideann-planes in pseudo-Euclidean spaces and differential geometry of Cartan domains. AMS Bulletin75, 409–414 (1969).
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Helwig, KH. Jordan-Algebren und symmetrische Räume. I. Math Z 115, 315–349 (1970). https://doi.org/10.1007/BF01131305
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DOI: https://doi.org/10.1007/BF01131305