Chao-Ping Dong

collaborators

3 papers

math.RT2026

An enhanced Helgason-Johnson bound for $S p (p, q)$

Zhan Ying, Chao-Ping Dong

Under the assumption that the irreducible unitary representation $π$ is infinite dimensional, this paper improves the Helgason-Johnson bound in 1969 for $S p (p, q)$ .

math.RT2026

Distribution of spin norm along pencils: the $S p (p, q)$ case

Chao-Ping Dong, Zhan Ying

As a sequel to [2] and Theorem C of [3], this paper shows that for $S p (p, q)$ , the spin norm strictly increases along any Vogan pencil once it goes beyond the unitarily small convex…

math.RT2024

Vogan's FPP conjecture for complex Lie groups

Chao-Ping Dong, Kayue Daniel Wong

In this paper, we give a proof of Vogan's fundamental parallelepiped (FPP) conjecture for complex simple Lie groups, resulting in a reduction step in the classification of irreduci…

An enhanced Helgason-Johnson bound for Sp(p,q)

Distribution of spin norm along pencils: the Sp(p,q) case

Vogan's FPP conjecture for complex Lie groups

An enhanced Helgason-Johnson bound for $S p (p, q)$

Distribution of spin norm along pencils: the $S p (p, q)$ case