Geometry of the Non-Compact G(2)
General Physics
2019-07-24 v1
Abstract
Geometrical applications of the non-compact form of Cartan's exceptional Lie group G(2) is considered. This group generates specific rotations of 7-dimensional Minkowski-like space with three extra time-like coordinates and in some limiting cases imitates standard Poincare transformations. In this model space-time translations are non-commutative and are represented by the rotations towards the extra time-like coordinates. The second order Casimir element of non-compact G(2) and its expression by the Casimir operators of the Lorentz and Poincare groups are found.
Cite
@article{arxiv.1903.04888,
title = {Geometry of the Non-Compact G(2)},
author = {Merab Gogberashvili and Alexandre Gurchumelia},
journal= {arXiv preprint arXiv:1903.04888},
year = {2019}
}
Comments
7 pages, no figures