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arXiv · 1304.7340

Systems of quotients of Lie triple systems

Yao Ma·Liangyun Chen·Jie Lin
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Abstract

In this paper, we introduce the notion of system of quotients of Lie triple systems and investigate some properties which can be lifted from a Lie triple system to its systems of quotients. We relate the notion of Lie triple system of Martindale-like quotients with respect to a filter of ideals and the notion of system of quotients, and prove that the system of quotients of a Lie triple system is equivalent to the algebra of quotients of a Lie algebra in some sense, and these allow us to construct the maximal system of quotients for nondegenerate Lie triple systems.

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Yao Ma, Liangyun Chen, Jie Lin. 2013-04-27. Systems of quotients of Lie triple systems. https://arxiv.org/abs/1304.7340

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