Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces

DOI10.1090/S0002-9947-02-03012-XzbMath0999.22019arXivmath/0111033OpenAlexW1835062897WikidataQ115289131 ScholiaQ115289131MaRDI QIDQ4529738

Bernhard Krötz, Simon G. Gindikin

Publication date: 6 May 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111033

zbMATH Keywords

Iwasawa decompositiondistinguished boundaryRiemannian symmetric spacescomplex crownnon-compactly causal symmetric spaces

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Stein manifolds (32Q28)

Related Items (7)

Wedge domains in non-compactly causal symmetric spaces ⋮ Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum ⋮ Orbit structure of a distinguished Stein invariant domain in the complexification of a Hermitian symmetric space ⋮ Quotients of the crown domain by a proper action of a cyclic group ⋮ Holomorphic \(H\)-spherical distribution vectors in principal series representations ⋮ Corner view on the crown domain ⋮ Real Group Orbits on Flag Manifolds

Cites Work

• Stein extensions of real symmetric spaces and the geometry of the flag manifold
• The geometry of Grauert tubes and complexification of symmetric spaces
• Stein extensions of Riemannian symmetric spaces and dualities of orbits on flag manifolds
• On Stein extensions of real symmetric spaces
• Holomorphic extensions of representations. I: Automorphic functions
• Holomorphic extensions of representations. II: Geometry and harmonic analysis
• Lie groups beyond an introduction
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