Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimensions of the irreducible representations of the symmetric and
  alternating group   We establish the existence of an irreducible representation of $A_n$ whose
dimension does not occur as the dimension of an irreducible representation of
$S_n$, and vice versa. This proves a conjecture by Tong-Viet. The main
ingredient in the proof is a result on large prime factors in short intervals.

5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics