ON ONE-DIMENSIONAL LEIBNIZ CENTRAL EXTENSIONS OF A FILIFORM LIE ALGEBRA
I. S. RakhimovDepartment of Mathematics, FS, Universiti Putra Malaysia, UPM, 43400, Serdang, Selangor Darul Ehsan, MalaysiaMunther A. HassanInstitute for Mathematical Research (INSPEM), Serdang, Selangor Darul Ehsan, Malaysia
2011en
ABI
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Abstract 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.
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