# 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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