Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.20562 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908793435062272 |
|---|---|
| author | Zhuang, Rushu Feng, Ge Hu, Naihong |
| author_facet | Zhuang, Rushu Feng, Ge Hu, Naihong |
| contents | In this paper, we first review the definition of the novel quantum affine algebra \(U_{\textbf{q}}(\widehat{\mathfrak{sl}}_2)\) of type \(A_{1}^{(1)}\) given in \cite{FHZ, HZhuang}. Furthermore, by introducing \(Ω\)-invariant generating functions, we construct the Drinfeld realization \(U^{D}_{\textbf{q}}(\widehat{\mathfrak{sl}}_2)\) of this algebra, and prove that \(U_{\textbf{q}}(\widehat{\mathfrak{sl}}_2)\) and \(U^{D}_{\textbf{q}}(\widehat{\mathfrak{sl}}_2)\) are algebraically isomorphic, which is known as the Drinfeld Isomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20562 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Drinfeld Isomorphism for Novel Quantum Affine Algebra of Type $A_{1}^{(1)}$ Zhuang, Rushu Feng, Ge Hu, Naihong Quantum Algebra In this paper, we first review the definition of the novel quantum affine algebra \(U_{\textbf{q}}(\widehat{\mathfrak{sl}}_2)\) of type \(A_{1}^{(1)}\) given in \cite{FHZ, HZhuang}. Furthermore, by introducing \(Ω\)-invariant generating functions, we construct the Drinfeld realization \(U^{D}_{\textbf{q}}(\widehat{\mathfrak{sl}}_2)\) of this algebra, and prove that \(U_{\textbf{q}}(\widehat{\mathfrak{sl}}_2)\) and \(U^{D}_{\textbf{q}}(\widehat{\mathfrak{sl}}_2)\) are algebraically isomorphic, which is known as the Drinfeld Isomorphism. |
| title | Drinfeld Isomorphism for Novel Quantum Affine Algebra of Type $A_{1}^{(1)}$ |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2601.20562 |