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A generalized quantum cluster algebra of Kronecker type

Published 3 Apr 2023 in math.QA | (2304.00896v1)

Abstract: The cluster multiplication formulas for a generalized quantum cluster algebra of Kronecker type are explicitly given. Furthermore, a positive bar-invariant $\mathbb{Z}[q{\pm\frac{1}{2}}]$-basis of this algebra is constructed.

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