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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2509.11635 |
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| _version_ | 1866916949745729536 |
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| author | Huang, Junyuan Chen, Xueqing Ding, Ming Xu, Fan |
| author_facet | Huang, Junyuan Chen, Xueqing Ding, Ming Xu, Fan |
| contents | Let $\mathcal{A}_{q}$ be an arbitrary quantum cluster algebra with principal coefficients. We give the fundamental relations between the quantum cluster variables arising from one-step mutations from the initial cluster in $\mathcal{A}_{q}$. Immediately and directly, we obtain an algebra homomorphism from the corresponding (untwisted) quantum group to $\mathcal{A}_{q}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11635 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fundamental relations in quantum cluster algebras Huang, Junyuan Chen, Xueqing Ding, Ming Xu, Fan Quantum Algebra Representation Theory Let $\mathcal{A}_{q}$ be an arbitrary quantum cluster algebra with principal coefficients. We give the fundamental relations between the quantum cluster variables arising from one-step mutations from the initial cluster in $\mathcal{A}_{q}$. Immediately and directly, we obtain an algebra homomorphism from the corresponding (untwisted) quantum group to $\mathcal{A}_{q}$. |
| title | Fundamental relations in quantum cluster algebras |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2509.11635 |