Continuous subgroups of the fundamental groups of physics. II. The similitude group

@article{Patera1975ContinuousSO,
  title={Continuous subgroups of the fundamental groups of physics. II. The similitude group},
  author={J. Patera and P. Winternitz and H. Zassenhaus},
  journal={Journal of Mathematical Physics},
  year={1975},
  volume={16},
  pages={1615-1624}
}
All subalgebras of the similitude algebra (the algebra of the Poincare group extended by dilatations) are classified into conjugacy classes under transformations of the similitude group. Use is made of the classification of all subalgebras of the Poincare algebra, carried out in a previous article. The results are presented in tables listing representatives of each class and their basic properties. 

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