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

Lie triple system central extensions of Lie algebras