AFFINE POISSON STRUCTURES

DOI10.1142/S0129167X90000186zbMath0725.58014OpenAlexW2084928966MaRDI QIDQ5201939

Alan Weinstein

Publication date: 1990

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x90000186

zbMATH Keywords

Poisson manifoldssymplectic groupoidsPoisson groupoidHamiltonian equilibriumaffinoid structures

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (12)

Exact Lie bialgebroids and Poisson groupoids ⋮ Quantum torsors ⋮ Affine structures on Lie groupoids ⋮ Jacobi groupoids and generalized Lie bialgebroids. ⋮ Morita equivalence of Poisson manifolds ⋮ Double Lie algebroids and second-order geometry. I ⋮ Quantum flag manifolds, quantum symmetric spaces and their associated universal \(K\)-matrices ⋮ Ehresmann doubles and Drinfel'd doubles for Lie algebroids and Lie bialgebroids ⋮ DEFORMATION QUANTIZATION OF CERTAIN NONLINEAR POISSON STRUCTURES ⋮ Rieffel induction as generalized quantum Marsden-Weinstein reduction ⋮ Lie theory of multiplicative tensors ⋮ Double Lie algebroids and second-order geometry. II

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