The geometry and algebra of the representations of the Lorentz group

@article{Dowker1968TheGA,
  title={The geometry and algebra of the representations of the Lorentz group},
  author={J. S. Dowker and M. Goldstone},
  journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences},
  year={1968},
  volume={303},
  pages={381 - 396}
}
  • J. S. Dowker, M. Goldstone
  • Published 1968
  • Mathematics
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
In this paper a (2j + l)-spinor analysis is developed along the lines of the 2-spinor and 3-spinor ones. We define generalized connecting quantities Aμv(j) which transform like (j, 0) ⊗ (j -1, 0) in spinor space and like second rank tensors under transformations in space-time. The general properties of the Auv are investigated together with algebraic relations involving the Lorentz group generators, Jμv. The connexion with 3j symbols is discussed. From a purely formal point of view we introduce… Expand
6 Citations

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