Lorentz transformations as Lie–Poisson symmetries

DOI10.1063/1.531278zbMath0844.70015arXivq-alg/9501026OpenAlexW3098590187MaRDI QIDQ4873452

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Publication date: 8 September 1996

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

Full work available at URL: https://arxiv.org/abs/q-alg/9501026

zbMATH Keywords

invarianceHamiltonian functionclassical limitparticle trajectorynoncommutative spacemass shell constraint

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (2)

Lie–Poisson deformation of the Poincaré algebra ⋮ TOWARDS CONSTRUCTING ONE-PARTICLE REPRESENTATIONS OF THE DEFORMED POINCARÉ ALGEBRA

Cites Work

• Quantum deformation of Lorentz group
• Some algebraic structures connected with the Yang-Baxter equation
• Multiparametric quantum deformation of the general linear supergroup
• \(q\)-deformed Poincaré algebra
• Poisson structures on the Lorentz group
• Reflection equations and \(q\)-Minkowski space algebras
• \(q\)-deformed relativistic one-particle states
• DEFORMATION QUANTIZATION OF THE ISOTROPIC ROTATOR
• A q-deformed Lorentz algebra

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