The Multiplication Theorem and Bases in Finite and Affine Quantum Cluster Algebras
نویسندگان
چکیده
We prove a multiplication theorem for quantum cluster algebras of acyclic quivers. The theorem generalizes the multiplication formula for quantum cluster variables in [19]. Moreover some ZP-bases in quantum cluster algebras of finite and affine types are constructed. Under the specialization q and coefficients to 1, these bases are the integral bases of cluster algebra of finite and affine types (see [4] and [11]).
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تاریخ انتشار 2010