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On isomorphism criterion for a subclass of complex filiform Leibniz algebras

    https://doi.org/10.1142/S0218196717500448Cited by:2 (Source: Crossref)

    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.

    Communicated by O. Kharlampovich

    AMSC: Primary: 17A32, Primary: 17A60, Primary: 17B30