72 citations · 1.4k across the 187 of their papers we have counts for
15 papers · 1 filter
Spin Kostka polynomials and vertex operators
Naihuan Jing, Ning Liu
An algebraic iterative formula for the spin Kostka-Foulkes polynomial is given using vertex operator realizations of Hall-Littlewood symmetric functions and Schur's Q…
Plethystic Murnaghan-Nakayama rule via vertex operators
Yue Cao, Naihuan Jing, Ning Liu
Based on the vertex operator realization of the Schur functions, a determinant-type plethystic Murnaghan--Nakayama rule is obtained and utilized to derive a general formula of the…
Universal symplectic/orthogonal functions and general branching rules
Zhihong Jin, Naihuan Jing, Zhijun Li +1
In this paper, we first introduce a family of universal symplectic functions that include symplectic Schur functions , o…
Skew Symplectic and Orthogonal Schur Functions
Naihuan Jing, Zhijun Li, Danxia Wang
Using the vertex operator representations for symplectic and orthogonal Schur functions, we define two families of symmetric functions and show thatthey are the skew symplectic and…
On Smith normal forms of -Varchenko matrices
Naomi Boulware, Naihuan Jing, Kailash C. Misra
In this paper, we investigate -Varchenko matrices for some hyperplane arrangements with symmetry in two and three dimensions, and prove that they have a Smith normal form over $…
A note on Cauchy's formula
Naihuan Jing, Zhijun Li
We use the correlation functions of vertex operators to give a proof of Cauchy's formula \begin{align*} \prod^K_{i=1}\prod^N_{j=1}(1-x_iy_j)=\sum_{μ\subseteq [K\times N]}(-1)^{|μ|}…