Symplectic geometry of semisimple orbits

DOI10.1016/S0019-3577(09)00010-XzbMath1213.22006arXiv0810.3816MaRDI QIDQ735422

Indranil Biswas, Hassan Azad, Erik P. van den Ban

Publication date: 22 October 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.3816

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Symplectic manifolds (general theory) (53D05) Group actions on varieties or schemes (quotients) (14L30) Analysis on real and complex Lie groups (22E30)

Related Items (10)

Symplectic Lefschetz fibrations on adjoint orbits ⋮ ON THE EXACTNESS OF KOSTANT–KIRILLOV FORM AND THE SECOND COHOMOLOGY OF NILPOTENT ORBITS ⋮ Infinitesimally tight Lagrangian orbits ⋮ Canonical domains for coadjoint orbits ⋮ Homotopy type of the nilpotent orbits in classical Lie algebras ⋮ Semisimple coadjoint orbits and cotangent bundles ⋮ Adjoint Orbits of Semi-Simple Lie Groups and Lagrangian Submanifolds ⋮ Large values of cusp forms on \(\mathrm{GL}_n\) ⋮ Complex adjoint orbits in Lie theory and geometry ⋮ The second cohomology groups of nilpotent orbits in classical Lie algebras

Cites Work

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• Harmonic analysis on real reductive groups
• Symplectic manifolds and their Lagrangian submanifolds
• On Covariant Fiberings of Klein Spaces
• Characteristic Classes and Homogeneous Spaces, I
• Lie groups beyond an introduction

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