Continuous subgroups of the Galilei and Galilei–similitude groups
- 1 January 1989
- journal article
- Published by Canadian Science Publishing in Canadian Journal of Physics
- Vol. 67 (1) , 1-24
- https://doi.org/10.1139/p89-001
Abstract
We classify all the subalgebras of the Galilei algebra g(3) into conjugacy classes under the associated group G(3) and under the Galilei–similitude group Gd(3), which includes a simultaneous time and space dilation. We also classify the subalgebras of gd(3) under Gd(3). All the classifications are given up to an isomorphism, and the results are summarized in normalized lists.Keywords
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