Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On classification and deformations of Lie-Rinehart superalgebras   The purpose of this paper is to study Lie-Rinehart superalgebras over the
complex field $\mathbb{C}$. We provide a classification in small dimension and
a deformation theory. A Lie-Rinehart superalgebra is a pair $(A,L)$ made of an
associative superalgebra $A$ and a Lie superalgebra $L$, which are compatible
in a certain way. We review their properties and provide some key examples. We
give all possible pairs defining a Lie-Rinehart superalgebra for $\dim(A)\leq
2$ and $\dim(L)\leq 4$. Moreover, we develop a theory of formal deformations
based on formal power series and a suitable cohomology.

8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom