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arxiv: math/0305050 · v1 · submitted 2003-05-02 · 🧮 math.DG

Classification of solvable 3-dimensional Lie triple systems

classification 🧮 math.DG
keywords triplesolvablesystemscanonicalclassificationisomorphicsplittingalgebras
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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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