Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Enveloping Algebras of Poisson Superalgebras   In this paper, we define and study the universal enveloping algebra of
Poisson superalgebras. In particular, a new PBW Theorem for Lie-Rinehart
superalgebras is proved, leading to a PBW Theorem for Poisson superalgebras; we
show the universal enveloping algebra of a Poisson Hopf superalgebra (resp.
Poisson-Ore extension) is a Hopf superalgebra (resp. iterated Ore extension);
and we determine the universal enveloping algebra for examples such as Poisson
symplectic superalgebras and Poisson supersymmetric superalgebras.

15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg