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.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…

math.RT2024

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

Chengyu Du

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

math.RT2024

Dirac series of $E_{8 (- 24)}$

Yi-Hao Ding, Chao-Ping Dong, Chengyu Du +2

This paper classifies the Dirac series of $E_{8 (- 24)}$ , the linear quaternionic real form of complex $E_{8}$ . One tool for us is a further sharpening of the Helgason-Johnson bound in…

Non-decreasable K-types are unitarily small

Dirac series of U(n,2)

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

Dirac series of E8(−24)​

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

Dirac series of $E_{8 (- 24)}$