Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arithmetic aspects of self-similar groups   We prove that an irreducible lattice in a semisimple algebraic group is
virtually isomorphic to an arithmetic lattice if and only if it admits a
faithful self-similar action on a rooted tree of finite valency.

0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph