Zhuohui Zhang

activity

20172022

most citedBerry-Esseen Bounds of Normal and Non-normal Approximation for Unbounded Exchangeable Pairs

40 citations · 54 across the 13 of their papers we have counts for

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math.RT2022

An Analogue of Bernstein-Zelevinsky Derivatives to Automorphic Forms

Zhuohui Zhang

In this paper, a construction to imitate the Bernstein-Zelevinsky derivative for automorphic representations on $G L_{n} (A)$ is introduced. We will later consider the induced…

math.RT2020

Littlewood-Richardson Coefficient, Springer Fibers and the Annihilator Varieties of Induced Representations

Zhuohui Zhang

For $G = G L (n, C)$ and a parabolic subgroup $P = L N$ with a two-block Levi subgroup $L = G L (n_{1}) \times G L (n_{2})$ , the space $G \cdot (O + n)$ , where $\…

math.RT2019

Intertwining Operator for $S p (4, R)$ and Orthogonal Polynomials

Zhuohui Zhang

We calculate the $(g, K)$ module structure for the principal series representation of $S p (4, R)$ . Furthermore, we introduced a hypergeometric generating function…

math.RT2019★ 1 cited

Principal Series Representation of $S U (2, 1)$ and Its Intertwining Operator

Zhuohui Zhang

In this paper, following a similar procedure developed by Buttcane and Miller in \cite{MillerButtcane} for $SL(3,\RR)$, the $(\frakg,K)$-module structure of the minimal principal s…

An Analogue of Bernstein-Zelevinsky Derivatives to Automorphic Forms

Littlewood-Richardson Coefficient, Springer Fibers and the Annihilator Varieties of Induced Representations

Intertwining Operator for Sp(4,R) and Orthogonal Polynomials

Principal Series Representation of SU(2,1) and Its Intertwining Operator

Intertwining Operator for $S p (4, R)$ and Orthogonal Polynomials

Principal Series Representation of $S U (2, 1)$ and Its Intertwining Operator