Ming Liu

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20242026

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math.QA2026

Quantum Sugawara operators in $U_{q} (gl_{M ∣ N})$

Naihuan Jing, Ming Liu, Jian Zhang

We construct Sugawara operators for the quantum affine superalgebra $U_{q} (gl_{M ∣ N})$ in an explicit form which generalizes the results given in \cite{J…

math.QA2024

The $q$ -immanants and higher quantum Capelli identities

Naihuan Jing, Ming Liu, Alexander Molev

We construct polynomials $S_{I^} ¼ (z)$ parameterized by Young diagrams $I^¼$ , whose coefficients are central elements of the quantized enveloping algebra ${\rm U}_q({\mathfra…

Quantum Sugawara operators in Uq​(gl​M∣N​)

The q-immanants and higher quantum Capelli identities

Quantum Sugawara operators in $U_{q} (gl_{M ∣ N})$

The $q$ -immanants and higher quantum Capelli identities