On the description of Leibniz superalgebras of nilindex n+m

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dc.creatorCamacho, L. M.
dc.creatorGomez, J. R.
dc.creatorKhudoyberdiyev, A. Kh.
dc.creatorOmirov, B. A.
dc.date2009-02-17
dc.date.accessioned2026-07-07T12:42:52Z
dc.date.available2026-07-07T12:42:52Z
dc.descriptionIn this work we investigate the complex Leibniz superalgebras with characteristic sequence $(n_1,...,n_k|m)$ and nilindex n+m, where $n=n_1+...+n_k,$ n and m (m is not equal to zero) are dimensions of even and odd parts, respectively. Such superalgebras with condition n_1 > n-2 were classified in \cite{FilSup}--\cite{C-G-O-Kh}. Here we prove that in the case $n_1 < n-1$ the Leibniz superalgebras have nilindex less than $n+m.$ Thus, we get the classification of Leibniz superalgebras with characteristic sequence $(n_1, ...,n_k|m)$ and nilindex n+m.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0902.2884
dc.identifierhttp://arxiv.org/abs/0902.2884
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220228
dc.subjectRings and Algebras
dc.subjectAlgebraic Geometry
dc.subject17A32, 17B30, 17B70, 17A70
dc.titleOn the description of Leibniz superalgebras of nilindex n+m
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