Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hom-Lie Superalgebras and Hom-Lie admissible Superalgebras   The purpose of this paper is to study Hom-Lie superalgebras, that is a
superspace with a bracket for which the superJacobi identity is twisted by a
homomorphism. This class is a particular case of $\Gamma$-graded quasi-Lie
algebras introduced by Larsson and Silvestrov. In this paper, we characterize
Hom-Lie admissible superalgebras and provide a construction theorem from which
we derive a one parameter family of Hom-Lie superalgebras deforming the
orthosymplectic Lie superalgebra. Also, we prove a $\mathbb{Z}_2$-graded
version of a Hartwig-Larsson-Silvestrov Theorem which leads us to a
construction of a q-deformed Witt superalgebra.

9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: math-ph