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Classification of solvable 3-dimensional Lie triple systems

Thomas Bouetou Bouetou
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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.

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Thomas Bouetou Bouetou. 2003-05-02. Classification of solvable 3-dimensional Lie triple systems. https://arxiv.org/abs/math/0305050

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