On the geometry and quantization of symplectic Howe pairs

DOI10.1007/s00209-011-0878-7zbMath1252.53097arXiv0910.0701OpenAlexW2011835009MaRDI QIDQ431276

Carsten Balleier, Tilmann Wurzbacher

Publication date: 26 June 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0701

zbMATH Keywords

coadjoint orbitgeometric quantizationHamiltonian actionsymplectic Howe pair

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Kähler manifolds (32Q15) Momentum maps; symplectic reduction (53D20) Geometric quantization (53D50) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (7)

The symmetric representation of the generalized rigid body equations and symplectic reduction ⋮ A dual pair for the contact group ⋮ Principal bundles of embeddings and nonlinear Grassmannians ⋮ Higher symmetries of the Laplacian via quantization ⋮ The frame bundle picture of Gaussian wave packet dynamics in semiclassical mechanics ⋮ Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian ⋮ Symplectic reduction and the Lie–Poisson shape dynamics of N point vortices on the plane

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