Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Second Cohomology Group of Elementary Quadratic Lie Superalgebras
  and Classifying a Subclass of 8-dimensional Solvable Quadratic Lie
  Superalgebras   By definition, a quadratic Lie superalgebra is a Lie superalgebra endowed
with a non-degenerate supersymmetric bilinear form which satisfies the even and
invariant properties. In this paper we calculate all of the second cohomology
group of elementary quadratic Lie superalgebras which have been classified in
\cite{DU14} by applying the super-Poisson bracket on the super exterior
algebra. Besides, we give the classification of 8-dimensional solvable
quadratic Lie superalgebras having 6-dimensional indecomposable even part. The
method is based on the double extension and classification results of adjoint
orbits of the Lie algebra $\mathfrak{s}\mathfrak{p}(2)$.

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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph