collaborators

6 papers

math.RT2026

On Irreducibility and Multiplicity One Property for Non-Archimedean Type-II Theta Lifting

Kaidi Wu

We establish a multiplicity-one refinement of the non-archimedean type-II Howe correspondence: whenever the small theta lift is non-zero, it occurs in the big theta lift with Jorda…

math.RT2026

Multiplicity One Property for Archimedean Theta Correspondence

Zhibin Geng, Kaidi Wu

For any archimedean reductive dual pair, we prove that the Jordan-Hölder multiplicity of the small theta lift in the full theta lift is one. The main input is an equality between t…

math.RT2026

Canonical Bernstein-Zelevinsky Filtration and Casselman's Comparison Conjecture

Kaidi Wu, Jun Yu

We establish a canonical Bernstein--Zelevinsky filtration for Casselman--Wallach representations that is analogous to the -adic case. In addition, we outline an approach to Cass…

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-Poincaré characteristic formula for general linear…

math.RT2025

Classification of -Representations Distinguished by

Basudev Pattanayak, Kaidi Wu, Hongfeng Zhang

This paper provides a complete classification of -distinguished irreducible representations of when the representations are e…