Spin and exotic Galilean symmetry

DOI10.1016/S0370-2693(02)02783-1zbMath1047.81593arXivhep-th/0209166MaRDI QIDQ701487

Christian Duval, Peter A. Horvathy

Publication date: 3 November 2002

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0209166

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of quantum theory to specific physical systems (81V99) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (5)

Galilean quantum gravity with cosmological constant and the extended q-Heisenberg algebra ⋮ On vertex algebra representations of the Schrödinger-Virasoro Lie algebra ⋮ Comments on Galilean conformal field theories and their geometric realization ⋮ DYNAMICS DETERMINES GEOMETRY ⋮ Construction of a central extension of a Lie group from its class of symplectic cohomology

Cites Work

• Structure of dynamical systems. A symplectic view of physics. Transl. from the French by C. H. Cushman-de Vries. Transl. ed.: R. H. Cushman a. G. M. Tuynman
• Second central extension in Galilean covariant field theory
• Phases in noncommutative quantum mechanics on (pseudo)sphere
• Nonrelativistic particles and wave equations
• Exotic Galilean symmetry in the non-commutative plane and the Hall effect
• The projective unitary irreducible representations of the Galilei group in 1+2 dimensions
• Anyon spin and the exotic central extension of the planar Galilei group

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