Orthogonal decomposition of Lorentz transformations
General Relativity and Quantum Cosmology
2012-11-27 v2 Mathematical Physics
math.MP
Abstract
The canonical decomposition of a Lorentz algebra element into a sum of orthogonal simple (decomposable) Lorentz bivectors is discussed, as well as the decomposition of a proper orthochronous Lorentz transformation into a product of commuting Lorentz transformations, each of which is the exponential of a simple bivector. As an application, we obtain an alternative method of deriving the formulas for the exponential and logarithm for Lorentz transformations.
Keywords
Cite
@article{arxiv.1103.1072,
title = {Orthogonal decomposition of Lorentz transformations},
author = {Jason Hanson},
journal= {arXiv preprint arXiv:1103.1072},
year = {2012}
}