English

The Multiplication Formulas of Weighted Quantum Cluster Functions

Quantum Algebra 2023-12-14 v2 Representation Theory

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.

Keywords

Cite

@article{arxiv.2110.12429,
  title  = {The Multiplication Formulas of Weighted Quantum Cluster Functions},
  author = {Zhimin Chen and Jie Xiao and Fan Xu},
  journal= {arXiv preprint arXiv:2110.12429},
  year   = {2023}
}
R2 v1 2026-06-24T07:08:12.798Z