Transitive symplectic manifolds in 1+2 dimensions

DOI10.1063/1.531388zbMath0862.58021arXivhep-th/9401037OpenAlexW2038739290MaRDI QIDQ5284375

Dan Radu Grigore

Publication date: 25 May 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9401037

zbMATH Keywords

transitive symplectic manifolds

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Noncommuting coordinates, exotic particles, and anomalous anyons in the Hall effect, Hamiltonian theory of anyons in crystals, Group theoretical construction of planar noncommutative phase spaces, The exotic Galilei group and the ``Peierls substitution., The noncommutative Landau problem

Cites Work

• The projective unitary irreducible representations of the Poincaré group in 1+2 dimensions
• The complete classification of generalized homogeneous symplectic manifolds
• Localisability in classical mechanics
• Moyal quantization of 2+1-dimensional Galilean systems