Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prehomogeneous modules of commutative linear algebraic groups   Let $A$ be a finite dimensional commutative associative algebra with unit
over an algebraically closed field of characteristic zero. The group $G(A)$ of
invertible elements is open in $A$ and thus $A$ has a structure of a
prehomogeneous $G(A)$-module. We show that every prehomogeneous module of a
commutative linear algebraic group appears this way. In particular, the number
of equivalence classes of prehomogeneous $G$-modules is finite if and only if
the corank of $G$ is at most $5$.

9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs