central elements 1determinantal identities 1elliptic quantum algebra 1quantum determinants 1yang-baxter equation 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.RT2026
Irreducibility of the tensor product of Yangian \( \mathrm{Y}(\mathfrak{gl}_{m|n}) \) evaluation modules
Vyacheslav Futorny, Zheng Li, Jian Zhang
The evaluation homomorphism from the super Yangian \( \mathrm{Y}(\mathfrak{gl}_{m|n}) \) to \( \mathrm{U}(\mathfrak{gl}_{m|n}) \) induces a \( \mathrm{Y}(\mathfrak{gl}_{m|n}) \)-mo…
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…
math.QA2025
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…