Homogeneous Siegel domains

DOI10.1017/S0027763000019796zbMath0445.32025OpenAlexW1554101934MaRDI QIDQ3889387

Josef F. Dorfmeister

Publication date: 1982

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000019796

zbMATH Keywords

homogeneous Siegel domainsLie algebra of infinitesimal automorphisms

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Complex Lie groups, group actions on complex spaces (32M05) Homogeneous complex manifolds (32M10)

Related Items (14)

Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces ⋮ Continuing the classification of homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group ⋮ Explicit formula of holomorphic automorphism group on complex homogeneous bounded domains ⋮ Family of Cayley transforms of a homogeneous Siegel domain parametrized by admissible linear forms ⋮ Theta functions on tube domains ⋮ Further steps towards classifying homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group ⋮ Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains ⋮ A characterization of symmetric Siegel domains through a Cayley transform ⋮ Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension ⋮ On the non-existence of common submanifolds of Kähler manifolds and complex space forms ⋮ A characterization of symmetric cones by an order-reversing property of the pseudoinverse maps ⋮ Recursive construction of optimal self-concordant barriers for homogeneous cones ⋮ Automorphisms and holomorphic mappings of standard CR-manifolds and Siegel domains ⋮ Characterization of the barrier parameter of homogeneous convex cones

Cites Work

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• Zur Konstruktion homogener Kegel
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• Eine Konstruktion von Jordan-Algebren
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• Sur les domaines bornes homogenes de l'espace de \(n\) variables. complexes
• Clifford modules
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• Einige Bemerkungen über polynomiale Vektorfelder, Jordanalgebren und die Automorphismen von Siegelschen Gebieten. (Some remarks on polynomial vector fields)
• Sur La Forme Hermitienne Canonique Des Espaces Homogenes Complexes
• Quasisymmetric Siegel Domains and the Automorphisms of Homogeneous Siegel Domains
• Automorphisms of Siegel Domains
• Siegel domains over self-dual cones and their automorphisms
• On symmetric Siegel domains
• On classification of quasi-symmetric domains
• Classification of homogeneous Siegel domains of type II of dimensions $9$ and $10$
• Classification of homogeneous bounded domains of lower dimension
• On the Automorphisms and Equivalences of Generalized Siegel Domains
• Sur la division des domaines de Siegel
• Jordan triple systems, 𝑅-spaces, and bounded symmetric domains
• The second dual space for the space $N^ +$
• Kählerian Coset Spaces of Semisimple Lie Groups

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