On Simple Split Lie Triple Systems |
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Authors: | Antonio J Calderón Martín |
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Institution: | 1. Departamento de Matemáticas, Universidad de Cádiz, 11510, Puerto Real, Cádiz, Spain
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Abstract: | It is shown that simple split Lie triple systems with a coherent 0-root space and satisfying finiteness conditions are isomorphic to a direct limit of (well-known) finite dimensional simple Lie triple systems of a same type. The key tool in this job is the notion of connection of roots in the framework of split Lie triple systems. |
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