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References (19)
-
(2007)
Lie groups, Nahm's equations and hyperkähler manifolds, Algebraic groups -
(1998)
Introduction to symplectic topology, 2nd edn -
(1996)
Symplectic fibrations and multiplicity diagrams (Cambridge -
E. Gasparim, L. Grama, L. Martin (2014)
Adjoint Orbits of Semi-Simple Lie Groups and Lagrangian SubmanifoldsProceedings of the Edinburgh Mathematical Society, 60
-
H. Azad, E. Ban, I. Biswas (2008)
Symplectic geometry of semisimple orbitsIndagationes Mathematicae, 19
-
(1980)
Projections of orbits and asymptotic behaviour of multiplicities for compact Lie groups -
(1992)
On the coadjoint orbits of connected Lie groups -
J. Duistermaat, J. Kolk, V. Varadarajan (1983)
Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groupsCompositio Mathematica, 49
-
(2004)
Lectures on the orbit method, Graduate Studies in Mathematics 64 (American Mathematical Society -
D. Bălibanu, E. Ban (1986)
Convexity theorems for semisimple symmetric spacesForum Mathematicum, 28
-
M. Vergne (1972)
La structure de Poisson sur l'algèbre symétrique d'une algèbre de Lie nilpotenteBulletin de la Société Mathématique de France, 100
-
Wojciech Bisiecki (1985)
Holomorphic Lagrangian bundles over flag manifolds.Journal für die reine und angewandte Mathematik (Crelles Journal), 1985
-
A. Kirillov (2004)
Lectures on the Orbit Method -
N. Pedersen (1988)
On the symplectic structure of coadjoint orbits of (solvable) Lie groups and applications. IMathematische Annalen, 281
-
Tom Bensky (2017)
Lecture NotesNature, 214
-
W. Kirwin (2009)
Isotropic foliations of coadjoint orbits from the Iwasawa decompositionGeometriae Dedicata, 166
-
(2007)
Lie groups, Nahm’s equations and hyperkähler manifolds, Algebraic groups 1–17 (Universitätsverlag Göttingen -
K. Neeb (1994)
A convexity theorem for semisimple symmetric spacesPacific Journal of Mathematics, 162
-
V. Arnold (1995)
Some remarks on symplectic monodromy of Milnor fibrations
- Publisher
- Wiley
- Copyright
- © London Mathematical Society
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/blms/bdw058
- Publisher site
- See Article on Publisher Site
Abstract
Semisimple (co)adjoint orbits through real hyperbolic elements are well known to be symplectomorphic to cotangent bundles. We provide a new proof of this fact based on elementary results on both the Lie theory and symplectic geometry. Our proof establishes a new connection between the Iwasawa horospherical projection and the symplectic geometry of real hyperbolic (co)adjoint orbits.
Journal
Bulletin of the London Mathematical Society – Wiley
Published: Dec 1, 2016