Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homologie et cohomologie de Hochschild de certaines algebres
  polynomiales classiques et quantiques   We study Hochschild homology and cohomology for some polynomial algebras
mixing both ``classical'' relations ($XY-YX=1$) and ``quantum'' relations
($XY={\l}YX$). More specifically, we prove that the algebra of differential
operators on any quantum affine space (quantum Weyl algebra) have the same
Hochschild homology, and satisfy the same duality relation, as the classical
Weyl algebra does.

8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph