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arXiv · 1010.1760

Lie triple system central extensions of Lie algebras

Revaz Kurdiani
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Abstract

Three kinds of universal central extension are considered for a perfect Lie algebra. More precisely, one can consider such a Lie algebra as a Lie triple system, or a Leibniz algebra and construct appropriate central extensions. We show that Lie triple system universal central extension is isomorphic either to Lie or Leibniz algebra universal central extension considered as a Lie triple system in appropriate way.

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Revaz Kurdiani. 2010-10-08. Lie triple system central extensions of Lie algebras. https://arxiv.org/abs/1010.1760

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