Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quiver varieties and adjoint crystals of level $\ell$ for type
  $A_n^{(1)}$   Let $B(\Lambda)$ be a level $\ell$ highest weight crystal of the quantum
affine algebra $U_q(A_n^{(1)})$. We construct an explicit crystal isomorphism
between the geometric realization $\gB(\Lambda)$ of the crystal $B(\Lambda)$
using quiver varieties and the path realization $\mathcal{P}^{\rm ad}(\Lambda)$
arising from the adjoint crystal $\Bad{\ell}$ of level $\ell$.

5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn