On isomorphism criterion for a subclass of complex filiform Leibniz algebras
I. S. RakhimovInstitute for Mathematical Research (INSPEM), Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, MalaysiaAbror KhudoyberdiyevInstitute of Mathematics, National University of Uzbekistan, Tashkent, UzbekistanB. A. OmirovInstitute of Mathematics, National University of Uzbekistan, Tashkent, UzbekistanKamel Ariffin Mohd AtanInstitute for Mathematical Research (INSPEM), Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Malaysia
ABI
Abstract
In this paper, we present an algorithm to give the isomorphism criterion for a subclass of complex filiform Leibniz algebras arising from naturally graded filiform Lie algebras. This subclass appeared as a Leibniz central extension of a linear deformation of filiform Lie algebra. We give the table of multiplication choosing appropriate adapted basis, identify the elementary base changes and describe the behavior of structure constants under these base changes, then combining them the isomorphism criterion is given. The final result of calculations for one particular case also is provided.
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