Crystallographic classes on the Minkowski space R
1,2. II. Tables of groups |
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Authors: | R M Garipov |
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Institution: | (1) Lavrent’ev Institute of Hydrodynamics, pr. Akad. Lavrent’eva 15, Novosibirsk, 630090, Russia |
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Abstract: | For the Minkowski spaces, the traditional definition of a crystallographic group yields only trivial groups that are isomorphic to the Euclidean groups. In this article, we use a weaker definition (the topological discreteness). We classify the isomorphism types of the groups in the six crystallographic classes in the 3-dimensional Minkowski space: three classes are determined by the unimodular subgroups of the general Lorentz group, and the other three classes, by the subgroups unimodular in isotropic coordinates. |
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