On quantum cluster algebras of finite type
نویسنده
چکیده
We extend the definition of a quantum analogue of the CalderoChapoton map defined [17]. When Q is a quiver of finite type, we prove 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).
منابع مشابه
Cluster algebras and quantum affine algebras
Let C be the category of finite-dimensional representations of a quantum affine algebra Uq(ĝ) of simply-laced type. We introduce certain monoidal subcategories Cl (l ∈ N) of C and we study their Grothendieck rings using cluster algebras.
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