Adjoint Orbits of Semi-Simple Lie Groups and Lagrangian Submanifolds

DOI10.1017/S0013091516000286zbMath1392.22003arXiv1401.2418OpenAlexW2963548131WikidataQ115336654 ScholiaQ115336654MaRDI QIDQ2989991

Lino Grama, Luiz A. B. San Martin, Elizabeth Gasparim

Publication date: 9 June 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.2418

zbMATH Keywords

flag manifoldcotangent bundleLagrangian submanifoldsymplectic fibrationadjoint orbit

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Analysis on real and complex Lie groups (22E30) Lagrangian submanifolds; Maslov index (53D12)

Related Items (10)

Symplectic Lefschetz fibrations on adjoint orbits ⋮ Infinitesimally tight Lagrangian orbits ⋮ Unnamed Item ⋮ Second homotopy group and invariant geometry of flag manifolds ⋮ The Katzarkov-Kontsevich-Pantev conjecture for minimal adjoint orbits ⋮ Coadjoint semi-direct orbits and Lagrangian families with respect to Hermitian form ⋮ Semisimple coadjoint orbits and cotangent bundles ⋮ A Lie theoretical construction of a Landau-Ginzburg model without projective mirrors ⋮ Deformations of adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds ⋮ Deformations of noncompact Calabi–Yau manifolds, families and diamonds

Cites Work

• Symplectic geometry of semisimple orbits
• Invariant almost Hermitian structures on flag manifolds.
• Maximal semigroups in semi-simple Lie groups
• Coding the principal character formula for affine Kac-Moody lie algebras

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