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Abstract.
In this work we investigate complex Leibniz superalgebras with
characteristic sequence 
and nilindex 
,
where 
, n and m (
) are dimensions
of even and odd parts, respectively. Such superalgebras with
the condition 
were completely classified. In the present paper, we prove that in the case
the Leibniz superalgebras have nilindex less than
. Thus, we obtain the classification of Leibniz superalgebras
with characteristic sequence and nilindex
.
Keywords: Lie superalgebras; Leibniz
superalgebras; nilindex; characteristic sequence; naturally
gradation
Received: 2009-11-23
Revised: 2010-07-05
Published Online: 2012-06-29
Published in Print: 2012-07-01
© 2012 by Walter de Gruyter Berlin Boston
