تقرير
Mutation invariants of cluster algebras of rank 2
| العنوان: | Mutation invariants of cluster algebras of rank 2 |
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| المؤلفون: | Chen, Zhichao, Li, Zixu |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, Mathematics - Combinatorics, Mathematics - Rings and Algebras, 13F60, 11D09, 11D25 |
| الوصف: | 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. Comment: v2: 34 pages, some typos are corrected, some references are added. Accepted for publication in Journal of Algebra |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2401.09704Test |
| رقم الانضمام: | edsarx.2401.09704 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |