Chengyu Du

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math.RT2025

Non-decreasable K-types are unitarily small

Chao-Ping Dong, Chengyu Du, Haojun Xu

Let $G$ be a connected simple non-compact real reductive Lie group with a maximal compact subgroup $K$ . This note aims to show that any non-decreasable $K$ -type (in the sense of th…

math.RT2025

On the nonvanishing condition for $A_{q} (I^»)$ of $U (p, q)$ in the mediocre range

Chengyu Du

The modules $A_{q} (I^»)$ of $U (p, q)$ can be parameterized by their annihilators and asymptotic supports, both of which can be identified using Young tableaux. Trapa develop…

math.RT2024

Dirac series of U(n,2)

Lin Wei, Chengyu Du, Hongfeng Zhang +1

We determine the Dirac series of $U (n, 2)$ and give related information about Dirac series: the spin lowest $K$ -types are multiplicity free, and the Dirac cohomology are consistent…

Non-decreasable K-types are unitarily small

On the nonvanishing condition for Aq​(I^») of U(p,q) in the mediocre range

Dirac series of U(n,2)

On the nonvanishing condition for $A_{q} (I^»)$ of $U (p, q)$ in the mediocre range