Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kashiwara Algebras and Imaginary Verma Modules for
  $U_q(\hat{\mathfrak{g}})$   We consider imaginary Verma modules for quantum affine algebra
  $U_q(\hat{\mathfrak{g}})$, where $\hat{\mathfrak{g}}$ is of type 1 i.e. of
non-twisted type, and construct Kashiwara type operators and the Kashiwara
algebra $\mathcal K_q$. We show that a certain quotient $\mathcal N_q^-$ of
  $U_q(\hat{\mathfrak{g}})$ is a simple $\mathcal K_q$-module.

20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin