Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On cohomology of the Lie superalgebra D(2, 1 ; \alpha)   We describe the infinitesimal deformations of the standard embedding of the
Lie superalgebra $D(2, 1 ; \alpha)$ into the Poisson superalgebra of
pseudodifferential symbols on $S^{1|2}$. We show that for the standard
embedding of $D(2, 1 ; \alpha)$ into the Poisson superalgebra of differential
operators on $S^{1|2}$, the infinitesimal deformations correspond to formal
deformations. For the embedding of $D(2, 1 ; \alpha)$ into the derived contact
superconformal algebra ${K}'(4)$, the infinitesimal deformations are formal
deformations.

36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph