72 citations · 1.4k across the 187 of their papers we have counts for
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math.RT2011★ 3 cited
Zonal Polynomials and Quantum Antisymmetric Matrices
Naihuan Jing, Robert Ray
We study the quantum symmetric spaces for quantum general linear groups modulo symplectic groups. We first determine the structure of the quotient quantum group and completely dete…
math.CO2011★ 7 cited
Jack vertex operators and realization of Jack functions
Wuxing Cai, Naihuan Jing
We give an iterative method to realize general Jack functions from Jack functions of rectangular shapes. We first show some cases of Stanley's conjecture on positivity of the Littl…
math.QA2011★ 15 cited
Applications of Laplace-Beltrami operator for Jack polynomials
Wuxing Cai, Naihuan Jing
We use a new method to study the Laplace-Beltrami type operator on the Fock space of symmetric functions, and as an example of our explicit computation we show that the Jack symmet…