Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two maps on affine type A crystals and Hecke algebras   We use the crystal isomorphisms of the Fock space to describe two maps on
partitions and multipartitions which naturally appear in the crystal basis
theory for quantum groups in affine type A and in the representation theory of
Hecke algebras of type G(l, l, n).

3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg