The Multiplication Formulas of Weighted Quantum Cluster Functions
arXiv:2110.12429 · doi:10.3842/SIGMA.2023.097
Abstract
By applying the property of Ext-symmetry and the affine space structure of certain fibers, we introduce the notion of weighted quantum cluster functions and prove their multiplication formulas associated to abelian categories with Ext-symmetry and 2-Calabi-Yau triangulated categories with cluster-tilting objects.