On one dimensional Leibniz central extensions of a naturally graded filiform Lie algebra

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

This paper deals with the classification of Leibniz central extensions of a
naturally graded filiform Lie algebra. We choose a basis with respect to that
the table of multiplication has a simple form. In low dimensional cases
isomorphism classes of the central extensions are given. In parametric family
orbits cases invariant functions (orbit functions) are provided.

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