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

Authors

  • I S Rakhimov

Keywords:

Lie algebra, ¯liform Leibniz algebra, isomorphism, invariant.

Abstract

The paper deals with the classi¯cation of Leibniz central extensions of a naturally graded ¯liform 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.

Published

2011-10-18

Issue

Vol. 84 No. 2 (2011)

Section

Articles
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