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Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 097, 60 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.097 (Mi sigma1992) 		 
The Multiplication Formulas of Weighted Quantum Cluster Functions

Zhimin Chena, Jie Xiaob, Fan Xua

a Tsinghua University, Beijing 100084, P. R. China
b School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China
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DOI: https://doi.org/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.
Keywords: weighted quantum cluster functions, cluster categories, 2-Calabi–Yau triangulated categories, preprojective algebras.
Funding agency Grant number
National Natural Science Foundation of China 11771217
12031007
The research was supported by the National Natural Science Foundation of China (no. 11771217 and no. 12031007).
Received: June 2, 2022; in final form November 26, 2023; Published online December 13, 2023
Document Type: Article
MSC: 17B37, 16G20, 17B20
Language: English
Citation: Zhimin Chen, Jie Xiao, Fan Xu, “The Multiplication Formulas of Weighted Quantum Cluster Functions”, SIGMA, 19 (2023), 097, 60 pp.
Citation in format AMSBIB
\Bibitem{CheXiaXu23}
\by Zhimin~Chen, Jie~Xiao, Fan~Xu
\paper The Multiplication Formulas of Weighted Quantum Cluster Functions
\jour SIGMA
\yr 2023
\vol 19
\papernumber 097
\totalpages 60
\mathnet{http://mi.mathnet.ru/sigma1992}
\crossref{https://doi.org/10.3842/SIGMA.2023.097}
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