Equivalence of domains arising from duality of orbits on flag manifolds III

DOI10.1090/S0002-9947-07-04076-7zbMath1126.14056arXivmath/0410302MaRDI QIDQ5297032

Toshihiko Matsuki

Publication date: 17 July 2007

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

Full work available at URL: https://arxiv.org/abs/math/0410302

zbMATH Keywords

flag manifoldsequivalent domainsnon-closed orbits

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Semisimple Lie groups and their representations (22E46) Complex Lie groups, group actions on complex spaces (32M05) General properties and structure of real Lie groups (22E15)

Related Items

Boundary orbit strata and faces of invariant cones and complex Ol’shanskiĭ semigroups ⋮ Equivalence of domains arising from duality of orbits on flag manifolds ⋮ Equivalence of domains arising from duality of orbits on flag manifolds II ⋮ Real Group Orbits on Flag Manifolds

Cites Work

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• Closure relations for orbits on affine symmetric spaces under the action of parabolic subgroups. Intersections of associated orbits
• Poincaré series and automorphic cohomology on flag domains
• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• Cayley transforms and orbit structure in complex flag manifolds
• 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
• A remark on Schubert cells and the duality of orbits on flag manifolds
• On Stein extensions of real symmetric spaces
• On certain domains in cycle spaces of flag manifolds
• Linear cycle spaces in flag domains
• Equivalence of domains arising from duality of orbits on flag manifolds
• Equivalence of domains arising from duality of orbits on flag manifolds II
• Characterization of cycle domains via Kobayashi hyperbolicity

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