Mutation invariants of cluster algebras of rank 2
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916234826612736 |
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| author | Chen, Zhichao Li, Zixu |
| author_facet | Chen, Zhichao Li, Zixu |
| contents | We consider the mutation invariants of cluster algebras of rank 2. We characterize the mutation invariants of finite type. Two examples are provided for the affine type and we prove the non-existence of Laurent mutation invariants of non-affine type. As an application, a class of Diophantine equations encoded with cluster algebras are studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09704 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mutation invariants of cluster algebras of rank 2 Chen, Zhichao Li, Zixu Representation Theory Combinatorics Rings and Algebras 13F60, 11D09, 11D25 We consider the mutation invariants of cluster algebras of rank 2. We characterize the mutation invariants of finite type. Two examples are provided for the affine type and we prove the non-existence of Laurent mutation invariants of non-affine type. As an application, a class of Diophantine equations encoded with cluster algebras are studied. |
| title | Mutation invariants of cluster algebras of rank 2 |
| topic | Representation Theory Combinatorics Rings and Algebras 13F60, 11D09, 11D25 |
| url | https://arxiv.org/abs/2401.09704 |