Une nouvelle réalisation des espaces hermitiens symétriques

DOI10.24033/bsmf.1984zbMath0576.32042OpenAlexW2583587508MaRDI QIDQ3697363

Michel Lassalle

Publication date: 1983

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1983__111__181_0

zbMATH Keywords

biholomorphic automorphismsShilov boundarySiegel domainhermitian symmetric spacebounded symmetric circular domainJordan invertible elementsK-homogeneous fibre spacepolar decomposition in Jordan algebras

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) General properties and structure of complex Lie groups (22E10) Complex Lie groups, group actions on complex spaces (32M05) Differential geometry of symmetric spaces (53C35) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Automorphic functions in symmetric domains (32N15)

Related Items

Algèbres de Jordan et équations de Hua. (Jordan algebras and Hua's equations), Hardy space of a generalized Reinhardt domain.

Cites Work

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• Les orbites d'un espace hermitien symétrique compact
• Realization of Hermitian symmetric spaces as generalized half-planes
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• Rational Inner Functions on Bounded Symmetric Domains
• Compactifications of Symmetric Spaces