Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Category of sp(2n)-modules with bounded weight multiplicities   Let $g$ be a finite dimensional simple Lie algebra. Denote by $\mathcal B$
the category of all bounded weight $g$-modules, i.e. those which are direct sum
of their weight spaces and have uniformly bounded weight multiplicities. A
result of Fernando shows that infinite-dimensional bounded weight modules exist
only for $g=sl(n)$ and $g=sp(2n)$. If $g=sp(2n)$ we show that $\mathcal B$ has
enough projectives if and only if $n>1$. In addition, the indecomposable
projective modules can be parameterized and described explicitly. All
indecomposable objects are described in terms of indecomposable representations
of a certain quiver with relations. This quiver is wild for $n>2$. For $n=2$ we
describe all indecomposables by relating the blocks of $\mathcal B$ to the
representations of the affine quiver $A_3^{(1)}$.

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th