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Classification of a subclass of low-dimensional complex filiform Leibniz algebras

I. S. Rakhimov Institute for Mathematical Research (INSPEM), Laboratory of Theoretical Studies, Universiti Putra Malaysia, 43400, Serdang, Selangor Darul Ehsan, Malaysia; Faculty of Science, Department of Mathematics, Universiti Putra Malaysia, 43400, Serdang, Selangor Darul Ehsan, MalaysiaSharifah Kartini Said Husain Institute for Mathematical Research (INSPEM), Laboratory of Theoretical Studies, Universiti Putra Malaysia, 43400, Serdang, Selangor Darul Ehsan, Malaysia; Faculty of Science, Department of Mathematics, Universiti Putra Malaysia, 43400, Serdang, Selangor Darul Ehsan, Malaysia
2011en
ABI

Аннотация

We give a complete classification of a subclass of complex filiform Leibniz algebras obtained from naturally graded non-Lie filiform Leibniz algebras. The isomorphism criteria in terms of invariant functions are given.

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