The Multiplication Formulas of Weighted Quantum Cluster Functions
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-ti...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2023 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2023
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212034 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The Multiplication Formulas of Weighted Quantum Cluster Functions. Zhimin Chen, Jie Xiao and Fan Xu. SIGMA 19 (2023), 097, 60 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862660575912263680 |
|---|---|
| author | Chen, Zhimin Xiao, Jie Xu, Fan |
| author_facet | Chen, Zhimin Xiao, Jie Xu, Fan |
| citation_txt | The Multiplication Formulas of Weighted Quantum Cluster Functions. Zhimin Chen, Jie Xiao and Fan Xu. SIGMA 19 (2023), 097, 60 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2026-03-16T04:01:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212034 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-16T04:01:53Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Chen, Zhimin Xiao, Jie Xu, Fan 2026-01-23T10:09:23Z 2023 The Multiplication Formulas of Weighted Quantum Cluster Functions. Zhimin Chen, Jie Xiao and Fan Xu. SIGMA 19 (2023), 097, 60 pages 1815-0659 2020 Mathematics Subject Classification: 17B37; 16G20; 17B20 arXiv:2110.12429 https://nasplib.isofts.kiev.ua/handle/123456789/212034 https://doi.org/10.3842/SIGMA.2023.097 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. The research was supported by the National Natural Science Foundation of China (no. 11771217 and no. 12031007). We greatly appreciate the referees’ extraordinarily useful and detailed comments and suggestions, which helped us to improve our manuscript. We are grateful to Xueqing Chen and Ming Ding for pointing out many mistakes in the preliminary version of this paper and for their many valuable suggestions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Multiplication Formulas of Weighted Quantum Cluster Functions Article published earlier |
| spellingShingle | The Multiplication Formulas of Weighted Quantum Cluster Functions Chen, Zhimin Xiao, Jie Xu, Fan |
| title | The Multiplication Formulas of Weighted Quantum Cluster Functions |
| title_full | The Multiplication Formulas of Weighted Quantum Cluster Functions |
| title_fullStr | The Multiplication Formulas of Weighted Quantum Cluster Functions |
| title_full_unstemmed | The Multiplication Formulas of Weighted Quantum Cluster Functions |
| title_short | The Multiplication Formulas of Weighted Quantum Cluster Functions |
| title_sort | multiplication formulas of weighted quantum cluster functions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212034 |
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