Bol loops as sections in semi-simple Lie groups of small dimension
Group Theory
2015-07-03 v1 Differential Geometry
Abstract
Using the relations between the theory of differentiable Bol loops and the theory of affine symmetric spaces we classify all connected differentiable Bol loops having an at most -dimensional semi-simple Lie group as the group topologically generated by their left translations. We show that all these Bol loops are isotopic to direct products of Bruck loops of hyperbolic type or to Scheerer extensions of Lie groups by Bruck loops of hyperbolic type.
Cite
@article{arxiv.1507.00615,
title = {Bol loops as sections in semi-simple Lie groups of small dimension},
author = {Ágota Figula},
journal= {arXiv preprint arXiv:1507.00615},
year = {2015}
}