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central elements 1determinantal identities 1elliptic quantum algebra 1quantum determinants 1yang-baxter equation 1

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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

The paper constructs a family of central elements for the elliptic quantum algebra \(\mathcal{A}_{q,p}(\widehat{\mathfrak{gl}}_{N})\) and shows they can be written as quantum deter…