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math.QA2026
Central Elements and Determinantal Identities in the Elliptic Quantum Algebra \( \mathcal{A}_{q,p}(\widehat{\mathfrak{gl}}_N)\)
Yingjie Hu, Zheng Li, Jian Zhang
Elliptic quantum algebra is the algebraic structure characterized by the elliptic solution of the Yang-Baxter equation. In this paper, we construct a family of central elements \(…
math.QA2024
Quantum Berezinian for quantum affine superalgebra
Naihuan Jing, Li Zheng, Jian Zhang
We introduce the quantum Berezinian for the quantum affine superalgebra and show that the coefficients of the quantum Berezinian belon…