Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Positivity and canonical bases in rank 2 cluster algebras of finite and
  affine types   The main motivation for the study of cluster algebras initiated in
math.RT/0104151, math.RA/0208229 and math.RT/0305434 was to design an algebraic
framework for understanding total positivity and canonical bases in semisimple
algebraic groups. In this paper, we introduce and explicitly construct the
canonical basis for a special family of cluster algebras of rank 2.

11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin