Quasisymmetric Siegel Domains and the Automorphisms of Homogeneous Siegel Domains

DOI10.2307/2374115zbMath0441.32013OpenAlexW2331859755MaRDI QIDQ3882738

Josef F. Dorfmeister

Publication date: 1980

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374115

zbMATH Keywords

Jordan pairsquasisymmetric Siegel domainsLie algebra of infinitesimal automorphismsautomorphisms of homogeneous Siegel domain

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Graded Lie (super)algebras (17B70) Complex Lie groups, group actions on complex spaces (32M05) Homogeneous complex manifolds (32M10)

Related Items (12)

Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces ⋮ Invariant spaces of holomorphic functions on the Siegel upper half-space ⋮ Theta functions on tube domains ⋮ A characterization of symmetric Siegel domains by convexity of Cayley transformation images ⋮ Lie groups ⋮ A characterization of symmetric tube domains by convexity of Cayley transform images ⋮ Criteria for quasi-symmetricity and the holomorphic sectional curvature of a homogeneous bounded domain ⋮ A characterization of symmetric Siegel domains through a Cayley transform ⋮ Theta functions for the special, formally real Jordan algebras. (A remark on a paper of H. L. Resnikoff) ⋮ Homogeneous Siegel domains ⋮ Automorphisms and holomorphic mappings of standard CR-manifolds and Siegel domains ⋮ Geometric norm equality related to the harmonicity of the Poisson kernel for homogeneous Siegel domains

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