Reduction of symplectic Lie algebroids by a Lie subalgebroid and a symmetry Lie group

DOI10.3842/SIGMA.2007.049zbMath1149.53051arXivmath/0703189WikidataQ115219731 ScholiaQ115219731MaRDI QIDQ2473446

Yanyan Li

Publication date: 27 February 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703189

zbMATH Keywords

symplectic Lie algebroids

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20)

Related Items (9)

On almost complex Lie algebroids ⋮ Inverse problem for Lagrangian systems on Lie algebroids and applications to reduction by symmetries ⋮ Left-symmetric bialgebroids and their corresponding Manin triples ⋮ Hamiltonian facets of classical gauge theories on E-manifolds ⋮ Pre-symplectic algebroids and their applications ⋮ An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems ⋮ Lagrangian reduction of nonholonomic discrete mechanical systems by stages ⋮ On contact and symplectic Lie algebroids ⋮ Lagrangian reduction of discrete mechanical systems by stages

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