Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dual canonical bases, quantum shuffles and q-characters   Rosso and Green have shown how to embed the positive part $U_q(n)$ of a
quantum enveloping algebra $U_q(g)$ in a quantum shuffle algebra. In this paper
we study some properties of the image of the dual canonical basis $B^*$ of
$U_q(n)$ under this embedding $\Phi$. This is motivated by the fact that when
$g$ is of type $A_r$, the elements of $\Phi(B^*)$ are $q$-analogues of
irreducible characters of the affine Iwahori-Hecke algebras attached to the
groups $GL(m)$ over a $p$-adic field.

4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys