Multiplicative properties of a quantumCaldero- Chapoton map associated to valued quivers
نویسندگان
چکیده
We prove a multiplication theorem of a quantum Caldero-Chapoton map associated to valued quivers which extends the results in [8][6]. As an application, when Q is a valued quiver of finite type or rank 2, we obtain that the algebra A H |k|(Q) generated by all cluster characters (see Definition 1) is exactly the quantum cluster algebra E H |k|(Q) and various bases of the quantum cluster algebras of rank 2 can naturally be deduced.
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