Jiandi Zou

activity

20192026

most citedSupercuspidal representations of

GL_{n} (F)

distinguished by a unitary involution

1 citations · 1 across the 9 of their papers we have counts for

collaborators

9 papers

math.RT2026

Wavefront sets for genuine representations of $GL$ -covers of Kazhdan--Patterson or Savin types

Fan Gao, Runze Wang, Jiandi Zou

First, we consider general Brylinski--Deligne covers of the $p$ -adic general linear groups, and discuss the theory of Bernstein--Zelevinsky derivatives. We also recall the Zelevins…

math.NT2026

Ramanujan Complexes from Unitary Groups over Number Fields

Rahul Dalal, Alberto Mínguez, Jiandi Zou

In this article, we construct new families of Ramanujan complexes with local structure distinct from all previously known examples. Our approach is based on unitary groups over num…

math.RT2025

Gelfand--Graev representation as a Hecke algebra module of simple types of a finite central cover of $GL (r)$

Jiandi Zou

For an $n$ -fold Kazhdan--Patterson cover or Savin's cover of a general linear group over a non-archimedean local field of residual characteristic $p$ with $gcd (n, p) = 1$ , we…

math.RT2024

Distinction of the Steinberg representation with respect to a symmetric pair

Chuijia Wang, Jiandi Zou

Let $K$ be a non-archimedean local field of residual characteristic $p \neq = 2$ . Let $G$ be a connected reductive group over $K$ , let $θ$ be an involution of $G$ over $K$ , and let $H…

math.RT2023

Simple type theory for metaplectic covers of $GL (r)$ over a non-archimedean local field

Jiandi Zou

Let $F$ be a non-archimedean locally compact field of residual characteristic $p$ , let $G = GL_{r} (F)$ and let $G$ be an $n$ -fold metaplectic cover of $G$ with $…

math.RT2022

Local metaplectic correspondence and applications

Jiandi Zou

We revisit the local metaplectic correspondence previously constructed and studied by Flicker and Kazhdan. After restoring and generalizing some of their results, we get several in…

math.RT2022

Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field

Eyal Kaplan, Erez Lapid, Jiandi Zou

Let $F$ be a non-archimedean local field. The classification of the irreducible representations of $G L_{n} (F)$ , $n \geq 0$ in terms of supercuspidal representations is one of the highli…

math.RT2020

Supercuspidal representations of $GL_{n} (F)$ distinguished by an orthogonal involution

Jiandi Zou

Let $F$ be a non-archimedean locally compact field of residue characteristic $p \neq = 2$ , let $G = GL_{n} (F)$ and let $H$ be an orthogonal subgroup of $G$ . For $π$ a complex sm…

math.RT2019★ 1 cited

Supercuspidal representations of $GL_{n} (F)$ distinguished by a unitary involution

Jiandi Zou

Let $F / F_{0}$ be a quadratic extension of non-archimedean locally compact fields of residue characteristic $p \neq = 2$ . Let $R$ be an algebraically closed field of characteristic dif…

Wavefront sets for genuine representations of GL-covers of Kazhdan--Patterson or Savin types

Ramanujan Complexes from Unitary Groups over Number Fields

Gelfand--Graev representation as a Hecke algebra module of simple types of a finite central cover of GL(r)

Distinction of the Steinberg representation with respect to a symmetric pair

Simple type theory for metaplectic covers of GL(r) over a non-archimedean local field

Local metaplectic correspondence and applications

Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field

Supercuspidal representations of GLn​(F) distinguished by an orthogonal involution

Supercuspidal representations of GLn​(F) distinguished by a unitary involution

Wavefront sets for genuine representations of $GL$ -covers of Kazhdan--Patterson or Savin types

Gelfand--Graev representation as a Hecke algebra module of simple types of a finite central cover of $GL (r)$

Simple type theory for metaplectic covers of $GL (r)$ over a non-archimedean local field

Supercuspidal representations of $GL_{n} (F)$ distinguished by an orthogonal involution

Supercuspidal representations of $GL_{n} (F)$ distinguished by a unitary involution