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Poisson algebras in reduction of symmetries

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Publication:819305
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DOI10.1016/S0034-4877(05)80041-2zbMath1134.37352MaRDI QIDQ819305

Jędrzej Śniatycki

Publication date: 28 March 2006

Published in: Reports on Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

reductionsymmetriesPoisson algebraalgebraic localizationgeometric localization


Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20)


Related Items

QUANTIZATION OF SINGULAR REDUCTION



Cites Work

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  • Reduction and quantization for singular momentum mappings
  • Stratified symplectic spaces and reduction
  • Reduction of symplectic manifolds with symmetry
  • Orbits of families of vector fields on subcartesian spaces.
  • Reduction of Poisson algebras at nonzero momentum values
  • Geometric and algebraic reduction for singular momentum maps
  • Reduction, Brouwer's Hamiltonian, and the critical inclination
  • Generalized Hamiltonian Dynamics
  • On the Analogy Between Classical and Quantum Mechanics
  • Lie groups
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