Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

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
DOI: https://doi.org/10.1090/S0002-9904-1971-12753-2
MathSciNet review: 0281846
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 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
  • 4. T. Nagano, Transformation groups on compact symmetric spaces, Trans. Amer. Math. Soc. 118 (1965), 428-453. MR 32 #419. MR 182937
  • 5. 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
  • 6. 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
  • 7. 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
  • 8. 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

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 17B60, 17E05, 32M15, 53C35

Retrieve articles in all journals with MSC (1970): 17B60, 17E05, 32M15, 53C35


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1971-12753-2

American Mathematical Society