Abstract
We have so far discussed subgroups of the Lorentz group which can describe the internal space-time symmetries of relativistic particles. Transformations of these subgroups leave the four-momentum of a particle invariant. The four-momentum which remains invariant under transformations of the homogeneous Lorentz group has to vanish. Since there are no particles with vanishing four-momentum, this group does not serve any useful purpose as a little group. However, this fact alone cannot eliminate the homogeneous Lorentz group from our consideration.
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© 1986 D. Reidel Publishing Company, Dordrecht, Holland
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Kim, Y.S., Noz, M.E. (1986). Homogeneous Lorentz Group. In: Theory and Applications of the Poincaré Group. Fundamental Theories of Physics, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4558-6_10
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DOI: https://doi.org/10.1007/978-94-009-4558-6_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8526-7
Online ISBN: 978-94-009-4558-6
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