6 citations · 16 across the 11 of their papers we have counts for
11 papers
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…
Immanant inequalities and weight spaces
Naihuan Jing, Yinlong Liu, Jian Zhang
We first obtain a trace formula for immanants of generalized principal submatrix of any complex matrix based on any weight space for finite dimensional representations of the gener…
Quantum Littlewood correspondences
Naihuan Jing, Yinlong Liu, Jian Zhang
In the 1940s Littlewood formulated three fundamental correspondences for the immanants and Schur symmetric functions on the general linear group, which establish deep connections b…
Parabolic presentations of Yangian in types and
Zhihua Chang, Naihuan Jing, Ming Liu +1
We establish a parabolic presentation of the extended Yangian $\X(\mathfrak{g}_{N})$ associated with the Lie algebras of type and , parameterized by a sym…
On character values of
Naihuan Jing, Yu Wu
In this paper, we use vertex operator techniques to compute character values on unipotent classes of $\GL_n(\mathbb F_q)$. By realizing the Grothendieck ring $R_G=\bigoplus_{n\geq0…
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{…
Whittaker modules for a subalgebra of N=2 superconformal algebra
Naihuan Jing, Pengfa Xu, Honglian Zhang
In this paper, Whittaker modules are studied for a subalgebra of the =2 superconformal algebra. The Whittaker modules are classified by central character…
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…