Une nouvelle réalisation des espaces hermitiens symétriques

Michel Lassalle

Bulletin de la Société Mathématique de France (1983)

  • Volume: 111, page 181-192
  • ISSN: 0037-9484

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Lassalle, Michel. "Une nouvelle réalisation des espaces hermitiens symétriques." Bulletin de la Société Mathématique de France 111 (1983): 181-192. <http://eudml.org/doc/87436>.

@article{Lassalle1983,
author = {Lassalle, Michel},
journal = {Bulletin de la Société Mathématique de France},
keywords = {hermitian symmetric space; Jordan invertible elements; bounded symmetric circular domain; biholomorphic automorphisms; Shilov boundary; Siegel domain; K-homogeneous fibre space; polar decomposition in Jordan algebras},
language = {fre},
pages = {181-192},
publisher = {Société mathématique de France},
title = {Une nouvelle réalisation des espaces hermitiens symétriques},
url = {http://eudml.org/doc/87436},
volume = {111},
year = {1983},
}

TY - JOUR
AU - Lassalle, Michel
TI - Une nouvelle réalisation des espaces hermitiens symétriques
JO - Bulletin de la Société Mathématique de France
PY - 1983
PB - Société mathématique de France
VL - 111
SP - 181
EP - 192
LA - fre
KW - hermitian symmetric space; Jordan invertible elements; bounded symmetric circular domain; biholomorphic automorphisms; Shilov boundary; Siegel domain; K-homogeneous fibre space; polar decomposition in Jordan algebras
UR - http://eudml.org/doc/87436
ER -

References

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  1. [0] BRAUN (H.) et KOECHER (M.). — Jordan Algebren, Springer, 1966. Zbl0145.26001MR34 #4310
  2. [1] HARISH-CHANDRA. — Representations of Semi-Simple Lie Groups VI, Amer. J. Math., vol. 78, 1956, p. 564-628. Zbl0072.01702
  3. [2] HELGASON (S.). — Differential Geometry, Lie Groups and Symmetric Spaces, New York, Academic Press, 1978. Zbl0451.53038
  4. [3] KORÁNYI (A.) et VÁGI (S.). — Rational Inner Functions on Bounded Symmetric Domains, Trans. A.M.S., vol. 254, 1979, p. 179-193. Zbl0439.32006MR80h:32062
  5. [4] KORÁNYI (A.) et WOLF (J.). — Realization of Hermitian Symmetric Spaces as Generalized Half-Planes, Ann. of Math., vol. 81, 1965, p. 265-288. Zbl0137.27402MR30 #4980
  6. [5] LASSALLE (M.). — Les orbites d'un espace hermitien symétrique compact, Inventiones Math., vol. 52, 1979, p. 199-239. Zbl0427.32026MR80k:32034
  7. [6] LASSALLE (M.). — Algèbres de Jordan, coordonnées polaires et équations de Hua, C. R. Acad. Sc. Paris, t. 294, série I, 1982, p. 613-615. Zbl0524.32019MR84b:32047
  8. [7] LOOS (O.). — Symmetric Spaces, vol. I, Benjamin, 1969. Zbl0175.48601MR39 #365a
  9. [8] MOORE (C.). — Compactifications of Symmetric Spaces II, The Cartan Domains, Amer. J. Math., vol. 86, 1964, p. 358-378. Zbl0156.03202MR28 #5147

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