Reduction of Poisson algebras at nonzero momentum values

DOI10.1016/S0393-0440(96)00009-5zbMath0863.58021MaRDI QIDQ2365161

Judith M. Arms

Publication date: 22 January 1997

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsreductionmomentum mapPoisson geometry

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Simple, semisimple, reductive (super)algebras (17B20) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (3)

Poisson algebras in reduction of symmetries ⋮ An elliptic complex associated to the Yang-Mills constraint equations ⋮ QUANTIZATION OF SINGULAR REDUCTION

Cites Work

• Reduction and quantization for singular momentum mappings
• Stratified symplectic spaces and reduction
• Generalized classical BRST cohomology and reduction of Poisson manifolds
• Reduction of symplectic manifolds with symmetry
• Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts
• Geometric and algebraic reduction for singular momentum maps
• On some types of topological groups
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