Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On quantum cluster algebras of finite type   We extend the definition of a quantum analogue of the Caldero-Chapoton map
defined in \cite{rupel}. When $Q$ is a quiver of finite type, we prove that the
algebra $\mathcal{AH}_{|k|}(Q)$ generated by all cluster characters (see
Definition \ref{def}) is exactly the quantum cluster algebra
$\mathcal{EH}_{|k|}(Q)$.

5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-fin