Discrete Symmetries as Automorphisms of the Proper Poincaré Group

@article{Buchbinder2000DiscreteSA,
  title={Discrete Symmetries as Automorphisms of the Proper Poincar{\'e} Group},
  author={Ioseph L. Buchbinder and D. M. Gitman and A. L. Shelepin},
  journal={International Journal of Theoretical Physics},
  year={2000},
  volume={41},
  pages={753-790}
}
We present a consistent approach to finding discrete transformations in representation spaces of the proper Poincaré group. To this end we establish a correspondence between involutory automorphisms of the group and the discrete transformations. Such a correspondence allows us to describe the action of discrete transformations on arbitrary spin-tensor fields without any use of relativistic wave equations. Extending the proper Poincaré group by the discrete transformations, we construct… 
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