Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Tambara-Yamagami categories   Fusion rules generalize groups by allowing multivalued multiplication. Groups
are fusion rules of simple current index 1. We classify nilpotent (in the sense
of Gelaki and Nikshych) fusion rules of simple current index 2, and
characterize the associated fusion categories.

14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th