Remarks on the exotic central extension of the planar Galilei group

Abstract

Some issues in relating the central extensions of the planar Galilei group to parameters in the corresponding relativistic theory are discussed.

arXiv comment5 pages, LaTeX, a reference and report number added

References in corpus (6)

• The exotic Galilei group and the "Peierls substitution"
• Galilean-Invariant (2+1)-Dimensional Models with a Chern-Simons-Like Term and D=2 N oncommutative Geometry
• Anyon spin and the exotic central extension of the planar Galilei group
• The Projective Unitary Irreducible Representations of the Galilei Group in 1+2 Dimensions
• Spinning particles in $2+1$ dimensions
• Second central extension in Galilean covariant field theory

Cited by in corpus (8)

• Exotic Galilean Conformal Symmetry and its Dynamical Realisations
• Comments on Galilean conformal field theories and their geometric realization
• A Chern-Simons approach to Galilean quantum gravity in 2+1 dimensions
• General coordinate invariance in quantum many-body systems
• Affine Extension of Galilean Conformal Algebra in 2+1 Dimensions
• Path-integral quantization of Galilean Fermi fields
• Treating Ostrogradski instability for Gallilean invariant Chern Simon's model via \mathcal{PT} symmetry
• Uncertainty Relations for the Relativistic Jackiw-Nair Anyon: A First Principles Derivation