Snyder Space-Time: K-Loop and Lie Triple System
Mathematical Physics
2010-12-06 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
Different deformations of the Poincare symmetries have been identified for various non-commutative spaces (e.g. -Minkowski, , Moyal). We present here the deformation of the Poincare symmetries related to Snyder space-time. The notions of smooth "K-loop", a non-associative generalization of Abelian Lie groups, and its infinitesimal counterpart given by the Lie triple system are the key objects in the construction.
Keywords
Cite
@article{arxiv.1009.4762,
title = {Snyder Space-Time: K-Loop and Lie Triple System},
author = {Florian Girelli},
journal= {arXiv preprint arXiv:1009.4762},
year = {2010}
}