Hongfeng Zhang

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5 papers · 1 filter

math.RT2026

Stability of the smooth Casselman-Jacquet functor

Kei Yuen Chan, Kaidi Wu, Jun Yu +1

We establish and prove several results for the smooth Casselman-Jacquet submodule and quotient functors for real reductive groups. In addition to exactness, surjectivity, transitiv…

math.RT2025

Archimedean Bernstein-Zelevinsky Theory and Homological Branching Laws

Kaidi Wu, Hongfeng Zhang

We develop the Bernstein-Zelevinsky theory for quasi-split real classical groups and employ this framework to establish an Euler-PoincarÃ© characteristic formula for general linear…

math.RT2025

Classification of $GL_{n} (C)$ -Representations Distinguished by $GL_{n} (R)$

Basudev Pattanayak, Kaidi Wu, Hongfeng Zhang

This paper provides a complete classification of $GL_{n} (R)$ -distinguished irreducible representations of $GL_{n} (C)$ when the representations are e…

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

The unitary dual of $U (n, 2)$

Kayue Daniel Wong, Hongfeng Zhang

In this paper, we give a full classification of the unitary dual of $G = U (n, 2)$ for $n \geq 3$ . As a consequence, we determine which of these representations are weakly fair $A_{\…