Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear relations and integrability for cluster algebras from affine
  quivers   We consider frieze sequences corresponding to sequences of cluster mutations
for affine D and E type quivers. We show that the cluster variables satisfy
linear recurrences with periodic coefficients, which imply the constant
coefficient relations found by Keller and Scherotzke. Viewing the frieze
sequence as a discrete dynamical system, we reduce it to a symplectic map on a
lower dimensional space and prove Liouville integrability of the latter.

21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn