Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a class of algebras defined by partitions   A class of associative (super) algebras is presented, which naturally
generalize both the symmetric algebra $Sym(V)$ and the wedge algebra $\wedge
(V)$, where $V$ is a vector-space. These algebras are in a bijection with those
subsets of the set of the partitions which are closed under inclusions of
partitions. We study the rate of growth of these algebras, then characterize
the case where these algebras satisfy polynomial identities.

15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom