Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cluster algebras and discrete integrability   Cluster algebras are a class of commutative algebras whose generators are
defined by a recursive process called mutation. We give a brief introduction to
cluster algebras, and explain how discrete integrable systems can appear in the
context of cluster mutation. In particular, we give examples of birational maps
that are integrable in the Liouville sense and arise from cluster algebras with
periodicity, as well as examples of discrete Painlev\'e equations that are
derived from Y-systems.

22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph