Orbit structure of a distinguished Stein invariant domain in the complexification of a Hermitian symmetric space

DOI10.1007/s00209-014-1333-3zbMath1314.32031OpenAlexW2011319723MaRDI QIDQ484346

Laura Geatti, Andrea Iannuzzi

Publication date: 7 January 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-014-1333-3

zbMATH Keywords

Hermitian symmetric spaceinvariant Stein domainLie group complexification

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Complex Lie groups, group actions on complex spaces (32M05) Stein manifolds (32Q28)

Related Items (3)

Invariant envelopes of holomorphy in the complexification of a Hermitian symmetric space ⋮ The adapted hyper-Kähler structure on the crown domain ⋮ Invariant plurisubharmonic functions on non-compact Hermitian symmetric spaces

Cites Work

• Invariant envelopes of holomorphy in the complexification of a Hermitian symmetric space
• A remark on the orbit structure of the complexification of a semisimple symmetric space
• Cycle spaces of flag domains. A complex geometric viewpoint
• Univalence of equivariant Riemann domains over the complexifications of rank-one Riemannian symmetric spaces
• Analysis on the crown domain
• On the complex geometry of invariant domains in complexified symmetric spaces
• On Stein extensions of real symmetric spaces
• Domains of holomorphy for irreducible unitary representations of simple Lie groups
• A General Theory of Canonical Forms
• Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces
• Compactifications of Symmetric Spaces
• Lie groups beyond an introduction
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