5 citations · 16 across the 8 of their papers we have counts for
8 papers
Measures and generalizations of dual Littlewood identities
Zhongren Cai, Bin Jiang, Naihuan Jing +2
We introduce three families of vectors , and parametrized by partitions in the Fock space by using pr…
Skew odd orthogonal characters and interpolating Schur polynomials
Naihuan Jing, Zhijun Li, Danxia Wang +1
We introduce two vertex operators to realize skew odd orthogonal characters and derive the Cauchy identity for the skew characters via Toeplitz-Hankel-type dete…
Kostant's generating functions and McKay-Slodowy correspondence
Naihuan Jing, Zhijun Li, Danxia Wang
Let be a pair of finite subgroups of and a finite-dimensional fundamental -module. We study Kostant's generating functions for the de…
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…
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|}…
Correlation functions of charged free boson and fermion systems
Naihuan Jing, Zhijun Li, Tommy Wuxing Cai
Using the idea of the quantum inverse scattering method, we introduce the operators and corresponding…
Tau functions of the charged free bosons
Naihuan Jing, Zhijun Li
We study bosonic tau functions in relation with the charged free bosonic fields. It is proved that up to a constant the only tau function in the Fock space M is the vacuum vector,…