Universal $R$-matrix of double parameter quantum affine algebra $U_{q,Q}({\hat {sl_2}})$
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866912987823996928 |
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| author | Li, Fengchang Maruyama, Masatake Yamane, Hiroyuki |
| author_facet | Li, Fengchang Maruyama, Masatake Yamane, Hiroyuki |
| contents | We give the explicit formula of the universal $R$-matrix of a double parameter (or two-parameter, or multi-parameter) quantum affine algebra of type ${\mathrm{A}}_1^{(1)}$. For $N$ with $q_{00}q_{01}$ being a primitive $N$-th root of unity, we introduce its $2N$-dimensional representation and explicitly calculate the $R$-matrix associated with it via the universal $R$-matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27925 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Universal $R$-matrix of double parameter quantum affine algebra $U_{q,Q}({\hat {sl_2}})$ Li, Fengchang Maruyama, Masatake Yamane, Hiroyuki Quantum Algebra Representation Theory We give the explicit formula of the universal $R$-matrix of a double parameter (or two-parameter, or multi-parameter) quantum affine algebra of type ${\mathrm{A}}_1^{(1)}$. For $N$ with $q_{00}q_{01}$ being a primitive $N$-th root of unity, we introduce its $2N$-dimensional representation and explicitly calculate the $R$-matrix associated with it via the universal $R$-matrix. |
| title | Universal $R$-matrix of double parameter quantum affine algebra $U_{q,Q}({\hat {sl_2}})$ |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2603.27925 |