English

$3$-dimensional Bol loops corresponding to solvable Lie triple systems

Group Theory 2015-07-01 v1

Abstract

We classify the connected 33-dimensional differentiable Bol loops LL having a solvable Lie group as the group topologically generated by the left translations of LL using 33-dimensional solvable Lie triple systems. Together with \cite{figula} our results complete the classification of all 33-dimensional differentiable Bol loops.

Keywords

Cite

@article{arxiv.1506.09139,
  title  = {$3$-dimensional Bol loops corresponding to solvable Lie triple systems},
  author = {Ágota Figula},
  journal= {arXiv preprint arXiv:1506.09139},
  year   = {2015}
}
R2 v1 2026-06-22T10:03:07.383Z