Lorentz Transformations from Reflections:Some Applications
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We point out, by exhibiting two examples and mentioning a third one, that it is sometimes useful to consider Lorentz transformations as generated from hyperplane or line reflections. One example concerns the construction of boosts linking two given 4-vectors, the other one concerns the Minkowski geometric understanding of V. Moretti's polar decomposition of orthochronous Lorentz matrices.
Cite
@article{arxiv.math-ph/0212038,
title = {Lorentz Transformations from Reflections:Some Applications},
author = {H. K. Urbantke},
journal= {arXiv preprint arXiv:math-ph/0212038},
year = {2007}
}