Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The representations of two-parameter Kashiwara algebras   In this paper, we give a unified construction of two-parameter quantum groups
$U_{r,s}(\mathfrak{g})$, two-parameter Kashiwara algebras
$B_{r,s}(\mathfrak{g})$, two-parameter quantized Weyl algebras
$W_{r,s}(\mathfrak{g})$ and the action of $U_{r,s}(\mathfrak{g})$ on
$B_{r,s}(\mathfrak{g})$ and $W_{r,s}(\mathfrak{g})$. Applying their properties
to the category $\mathcal{O}(B_{r,s}(\mathfrak{g}))$, whose objects are "upper
bounded" $B_{r,s}(\mathfrak{g})$-modules, We can give a conceptual proof of its
semi-simplicity and the classification of simple modules in it.

11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin