6 citations · 16 across the 11 of their papers we have counts for
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Quantum Sugawara operators in
Naihuan Jing, Ming Liu, Jian Zhang
We construct Sugawara operators for the quantum affine superalgebra in an explicit form which generalizes the results given in \cite{J…
Quantum super Manin matrices
Naihuan Jing, Yinlong Liu, Jian Zhang
Manin matrices are quantum linear transformations of general quantum spaces. In this paper, we study the -analogue of super Manin matrices and obtain several quantum versions of…
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…
The -immanants and higher quantum Capelli identities
Naihuan Jing, Ming Liu, Alexander Molev
We construct polynomials parameterized by Young diagrams , whose coefficients are central elements of the quantized enveloping algebra ${\rm U}_q({\mathfrak{…
Twisted q-Yangians and Sklyanin determinants
Naihuan Jing, Jian Zhang
-Yangians can be viewed both as quantum deformations of the loop algebras of upper triangular Lie algebras and deformations of the Yangian algebras. In this paper, we study the…
Eigenvalues of quantum Gelfand invariants
Naihuan Jing, Ming Liu, Alexander Molev
We consider the quantum Gelfand invariants which first appeared in a landmark paper by Reshetikhin, Takhtadzhyan and Faddeev (1989). We calculate the eigenvalues of the invariants…