Dirac method and symplectic submanifolds in the cotangent bundle of a factorizable Lie group

DOI10.1063/1.3603427zbMath1317.53109arXiv1011.2648OpenAlexW2042039069WikidataQ115333388 ScholiaQ115333388MaRDI QIDQ5266090

H. Montani, Santiago Capriotti

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2648

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Constrained dynamics, Dirac's theory of constraints (70H45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (1)

Dirac approach to constrained submanifolds in a double loop group: From Wess-Zumino-Novikov-Witten to Poisson-Lie σ-model

Cites Work

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• Integrable systems and Poisson-Lie \(T\)-duality: a finite dimensional example
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• Systems of Toda type, inverse spectral problems, and representation theory
• Reduction of symplectic manifolds with symmetry
• Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
• Symplectic reduction for semidirect products and central extensions
• Hamiltonian loop group actions and T-duality for group manifolds
• Foundations of Quantum Mechanics
• Dressing transformations and Poisson group actions

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