English

Classification of solvable 3-dimensional Lie triple systems

Differential Geometry 2007-05-23 v1

Abstract

We give the classification of solvable and splitting Lie triple system and it turn that, up to isomorphism there exist 7 non isomorphic canonical Lie triple systems and 6 non isomorphic splitting canonical Lie triple systems and find the solvable Lie algebras associated.

Keywords

Cite

@article{arxiv.math/0305050,
  title  = {Classification of solvable 3-dimensional Lie triple systems},
  author = {Thomas Bouetou Bouetou},
  journal= {arXiv preprint arXiv:math/0305050},
  year   = {2007}
}

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13 pages