Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the duality between Poisson homology and cohomology   For a Poisson algebra $A$, by studying its universal enveloping algebra
$A^{pe}$, we prove a duality theorem between Poisson homology and cohomology of
$A$.

20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin