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

2010/01/11 by Rakhimov, I. S., Hassan, Munther A.
#13A50. #17A32 #17A60 #17B30 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1001.1702

Abstract

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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