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Published August 1975 | Published
Journal Article Open

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

Abstract

All subalgebras of the similitude algebra (the algebra of the Poincaré 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 Poincaré algebra, carried out in a previous article. The results are presented in tables listing representatives of each class and their basic properties.

Additional Information

© 1975 American Institute of Physics. Received 25 February 1975. Work supported in part by a NATO research grant. One of the authors (J.P.) would like to thank the Physics Center in Aspen, Colorado where part of the work was performed, for its hospitality.

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August 19, 2023
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October 18, 2023