Construction and classification of indecomposable finite-dimensional representations of the homogeneous Galilei group

@article{Niederle2006ConstructionAC,
  title={Construction and classification of indecomposable finite-dimensional representations of the homogeneous Galilei group},
  author={J. Niederle and A. Nikitin},
  journal={Czechoslovak Journal of Physics},
  year={2006},
  volume={56},
  pages={1243-1250}
}
We discuss finite-dimensional representations of the homogeneous Galilei group which, when restricted to its subgroup SO(3), are decomposed to spin 0, 1/2 and 1 representations. In particular we explain how these representations were obtained in our paper (M. de Montigny et al.: J. Phys. A39 (2006) 9365) via reduction of the classification problem to a matrix one admitting exact solutions, and via contraction of the corresponding representations of the Lorentz group. Finally, for discussed… Expand
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References

SHOWING 1-10 OF 10 REFERENCES
On the Contraction of Groups and Their Representations.
  • E. Inonu, E. Wigner
  • Physics, Medicine
  • Proceedings of the National Academy of Sciences of the United States of America
  • 1953
  • 903
  • PDF
Galilei Group and Galilean Invariance
  • 204
Representations of the Galilei group
  • 122
The Theory of Symmetry Actions in Quantum Mechanics: with an Application to the Galilei Group
  • 42
Moving Coframes: I. A Practical Algorithm
  • 280
  • PDF
The theory of Symmetry Action in Quantum Mechanics
  • Proc . Nat . Acad . Sci . U . S .
  • 2004
Inönü and E . Wigner : Nuovo Cimento B 9 ( 1952 ) 705 . [ 3 ] V . Bargmann
  • Lévy - Leblond : in Group Theory and Applications
  • 1971