From the 1 of 4 linked papers with an AI index.
4 papers
Measures and generalizations of dual Littlewood identities
Zhongren Cai, Bin Jiang, Naihuan Jing +2
The paper constructs families of partition-indexed vectors in a Fock space using adjoint vertex operators, derives dual Littlewood identities of types B, C, and D, and shows relate…
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 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 ,…
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…