The symplectic geometry of the Gel'fand-Cetlin-Molev basis for representations of \(\text{Sp}(2n,\mathbb C)\)

DOI10.4310/JSG.2006.v4.n1.a1zbMath1108.53055arXivmath/0404485MaRDI QIDQ854477

Megumi Harada

Publication date: 4 December 2006

Published in: The Journal of Symplectic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404485

zbMATH Keywords

integrable systemsco-adjoint orbits

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Applications of Lie groups to the sciences; explicit representations (22E70) Geometry and quantization, symplectic methods (81S10) Momentum maps; symplectic reduction (53D20) Deformation quantization, star products (53D55) Geometric quantization (53D50)

Related Items (4)

Convexity and Thimm's trick ⋮ Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties ⋮ Integrable systems associated to the filtrations of Lie algebras ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras

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