Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiplicative properties of a quantum Caldero-Chapoton map associated
  to valued quivers   We prove a multiplication theorem of a quantum Caldero-Chapoton map
associated to valued quivers which extends the results in \cite{DX}\cite{D}. As
an application, when $Q$ is a valued quiver of finite type or rank 2, we obtain
that the algebra $\mathcal{AH}_{|k|}(Q)$ generated by all cluster characters
(see Definition \ref{def}) is exactly the quantum cluster algebra
$\mathcal{EH}_{|k|}(Q)$ and various bases of the quantum cluster algebras of
rank 2 can naturally be deduced.

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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph