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Jordan triple systems, $R$-spaces, and bounded symmetric domains
Author:
Ottmar Loos
Journal:
Bull. Amer. Math. Soc. 77 (1971), 558-561
MSC (1970):
Primary 17B60, 17E05, 32M15, 53C35
MathSciNet review:
0281846
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References |
Similar Articles |
Additional Information
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Shoshichi
Kobayashi and Tadashi
Nagano, On filtered Lie algebras and geometric structures. I,
J. Math. Mech. 13 (1964), 875–907. MR 0168704
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Max
Koecher, An elementary approach to bounded symmetric domains,
Rice University, Houston, Tex., 1969. MR 0261032
(41 #5652)
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Kurt
Meyberg, Jordan-Tripelsysteme und die Koecher-Konstruktion von
Lie-Algebren., Math. Z. 115 (1970), 58–78
(German). MR
0263883 (41 #8482)
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Tadashi
Nagano, Transformation groups on compact
symmetric spaces, Trans. Amer. Math. Soc.
118 (1965),
428–453. MR 0182937
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(35 #7350)
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Joseph
A. Wolf and Adam
Korányi, Generalized Cayley transformations of bounded
symmetric domains, Amer. J. Math. 87 (1965),
899–939. MR 0192002
(33 #229)
- 1.
- S. Kobayashi and T. Nagano, On filtered Lie algebras and geometric structures. I, J. Math. Mech. 13 (1964), 875-907. MR 29 #5961. MR 168704
- 2.
- M. Koecher, An elementary approach to bounded symmetric domains, Lecture Notes, Rice University, Houston, Texas, 1969. MR 261032
- 3.
- K. Meyberg, Jordan-Tripelsysteme und die Koecher-Konstruktion von Lie-Algebren, Math. Z. 115 (1970), 58-78. MR 263883
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- T. Nagano, Transformation groups on compact symmetric spaces, Trans. Amer. Math. Soc. 118 (1965), 428-453. MR 32 #419. MR 182937
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- I. I. Pjateckiĭ-Šapiro, Geometry of classical domains and theory of automorphic functions, Fizmatgiz, Moscow, 1961; French transl., Dunod, Paris, 1966; English transl., Gordon and Breach, New York, 1967. MR 25 #231; MR 33 #5949. MR 136770
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- V. I. Semjanistiĭ, Symmetric domains and Jordan algebras, Dokl. Akad. Nauk SSSR 190 (1970), 788-791 = Soviet Math. Dokl. 11 (1970), 215-218. MR 257164
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- M. Takeuchi, Cell decompositions and Morse equalities on certain symmetric spaces, J. Fac. Sci. Univ. Tokyo Sect. I 12 (1965), 81-192. MR 35 #7350. MR 216517
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- J. A. Wolf and A. Koranyi, Generalized Cayley transformations of bounded symmetric domains, Amer. J. Math. 87 (1965), 899-939. MR 33 #229. MR 192002
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1971-12753-2
PII:
S 0002-9904(1971)12753-2
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