A remark on the orbit structure of the complexification of a semisimple symmetric space

DOI10.1016/j.difgeo.2012.01.001zbMath1270.22006OpenAlexW2053184281WikidataQ115356739 ScholiaQ115356739MaRDI QIDQ417652

Laura Geatti

Publication date: 14 May 2012

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2012.01.001

zbMATH Keywords

complexificationslice representationsemisimple symmetric spaceorbit structure

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35) General properties and structure of real Lie groups (22E15) Homogeneous complex manifolds (32M10)

Related Items (2)

Orbit structure of a distinguished Stein invariant domain in the complexification of a Hermitian symmetric space ⋮ Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications

Cites Work

• Real double coset spaces and their invariants
• Univalence of equivariant Riemann domains over the complexifications of rank-one Riemannian symmetric spaces
• Analysis on the crown domain
• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• Double coset decompositions of reductive Lie groups arising from two involutions
• On Stein extensions of real symmetric spaces
• Orbits and invariants associated with a pair of commuting involutions
• Invariant domains in the complexification of a noncompact Riemannian symmetric space
• Domains of holomorphy for irreducible unitary representations of simple Lie groups
• Complex extensions of semisimple symmetric spaces
• Matsuki's double coset decomposition via gradient maps
• Sur Certaines Operations Differentiables des Groupes de Lie
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