On some discrete subgroups of the Lorentz group
General Physics
2013-01-09 v1 Mathematical Physics
math.MP
Abstract
Some discrete subgroups of the Lorentz group are found using Fedorov's parametrization by means of complex vector-parameter. It is shown that the discrete subgroup of the Lorentz group, which have not fixed points, are contained in boosts along a spatial direction for time-like and space-like vectors and are discrete subgroups of the group SO(1,1), whereas discrete subgroups of isotropic vector are subgroups of SO(1,1)\times E(1,1).
Keywords
Cite
@article{arxiv.1301.1636,
title = {On some discrete subgroups of the Lorentz group},
author = {Alexander Tarakanov},
journal= {arXiv preprint arXiv:1301.1636},
year = {2013}
}
Comments
9 pages