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On the description of Leibniz superalgebras of nilindex
-
Luisa M. Camacho
,
Jose R. Gómez
Published/Copyright:
June 29, 2012
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
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Keywords for this article
Lie superalgebras;
Leibniz
superalgebras;
nilindex;
characteristic sequence;
naturally
gradation
Articles in the same Issue
- Masthead
- Representations of quivers over a ring and the Weak Krull–Schmidt Theorems
- Logarithmically improved regularity criteria for the 3D viscous MHD equations
- Tilting modules and universal localization
- A bound on the degree of schemes defined by quadratic equations
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- Construction of quasi-periodic response solutions in forced strongly dissipative systems
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- Presentations of graph braid groups
- On the vanishing of the lower K-theory of the holomorph of a free group on two generators
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