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Complex Nilpotent Leibniz Superalgebras with Nilindex Equal to Dimension

L.M. Camacho Dpto. Matemática Aplicada I, Universidad de Sevilla, Sevilla, SpainJ.R. Gómez Dpto. Matemática Aplicada I, Universidad de Sevilla, Sevilla, SpainB. A. Omirov Institute of Mathematics and Information Technologies of Academy of Uzbekistan, Tashkent, UzbekistanAbror Khudoyberdiyev Institute of Mathematics and Information Technologies of Academy of Uzbekistan, Tashkent, Uzbekistan
Communications in Algebrajournal2013en
ABI

Abstract

We present the description up to isomorphism of Leibniz superalgebras with the\n\t\t\t\t characteristic sequence equal to n m1 mk and nilindex n + m, where m = m1\n\t\t\t\t +\n\t\t\t\t · · ·+mk, and n and m (m = 0) are the dimensions of the even and odd parts,\n\t\t\t\t respectively.

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