Cayley transforms and orbit structure in complex flag manifolds

DOI10.1007/BF01234542zbMath0887.22007MaRDI QIDQ1377346

Joseph A. Wolf, Roger Zierau

Publication date: 28 April 1998

Published in: Transformation Groups (Search for Journal in Brave)

zbMATH Keywords

semisimple symmetric spacesreal semisimple Lie groupCayley transformsorbit structureComplex flag manifolds

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) General properties and structure of complex Lie groups (22E10) Complex Lie groups, group actions on complex spaces (32M05)

Related Items (4)

Equivalence of domains arising from duality of orbits on flag manifolds III ⋮ Generic 1-connectivity of flag domains in Hermitian symmetric spaces ⋮ IRREDUCIBLE UNITARY REPRESENTATIONS OF SU_p,q I: THE DISCRETE SERIES ⋮ Boundary orbit strata and faces of invariant cones and complex Ol’shanskiĭ semigroups

Cites Work

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• The Bruhat order on symmetric varieties
• Les orbites d'un espace hermitien symétrique compact
• Orbits on affine symmetric spaces under the action of parabolic subgroups
• Complements to `The Bruhat order on symmetric varieties'
• The Stein condition for cycle spaces of open orbits on complex flag manifolds
• Realization of Hermitian symmetric spaces as generalized half-planes
• Exceptional Lie algebras and the structure of Hermitian symmetric spaces
• Generalized Cayley Transformations of Bounded Symmetric Domains
• Compactifications of Symmetric Spaces
• On Orbits in a Compact Hermitian Symmetric Space
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components

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