Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From triangulated categories to cluster algebras   The cluster category is a triangulated category introduced for its
combinatorial similarities with cluster algebras. We prove that a cluster
algebra A of finite type can be realized as a Hall algebra, called the
exceptional Hall algebra, of the cluster category. This realization provides a
natural basis for A. We prove new results and formulate conjectures on `good
basis' properties, positivity, denominator theorems and toric degenerations.

32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th