On one-dimensional Leibniz central extension of a filiform lie algebra.

The paper deals with the classification of Leibniz central extensions of a filiform Lie algebra. We choose a basis with respect to which the multiplication table has a simple form. In low-dimensional cases isomorphism classes of the central extensions are given. In the case of parametric families of...

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Bibliographic Details
Main Authors: Sattarovich, Rakhimov Isamiddin, Hassan, Munther A.
Format: Article
Language:English
Published: Cambridge University Press (CUP) 2011
Online Access:http://psasir.upm.edu.my/24921/
http://psasir.upm.edu.my/24921/
http://psasir.upm.edu.my/24921/
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Summary:The paper deals with the classification of Leibniz central extensions of a filiform Lie algebra. We choose a basis with respect to which the multiplication table has a simple form. In low-dimensional cases isomorphism classes of the central extensions are given. In the case of parametric families of orbits, invariant functions (orbit functions) are provided.