Jiandi Zou

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20242026

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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.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 $…

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)

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

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