On the classification of complex Leibniz superalgebras with characteristic sequence (n-1, 1 | m₁, ..., m_k) and nilindex n+m · arXivDesk0806.4743Jun 29, 200813 pages
On the classification of complex Leibniz superalgebras with characteristic sequence (n−1,1∣m1,...,mk) and nilindex n+m
S. Albeverio, B. A. Omirov, A. Kh. Khudoyberdiyev
Abstract
In this work we investigate the complex Leibniz superalgebras with characteristic sequence (n−1,1∣m1,...,mk) and with nilindex equal to n+m.
We prove that such superalgebras with the condition
have nilindex less than
. Therefore the complete classification of Leibniz algebras with characteristic sequence
(n−1,1∣m1,...,mk) and with nilindex equal to
is reduced to the classification of filiform Leibniz superalgebras of nilindex equal to
which was provided in AOKh and GKh.