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arXiv · 2601.20562

Drinfeld Isomorphism for Novel Quantum Affine Algebra of Type $A_{1}^{(1)}$

Rushu Zhuang·Ge Feng·Naihong Hu
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Abstract

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 \(\Omega\)-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.

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Rushu Zhuang, Ge Feng, Naihong Hu. 2026-01-28. Drinfeld Isomorphism for Novel Quantum Affine Algebra of Type $A_{1}^{(1)}$. https://arxiv.org/abs/2601.20562

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