4 papers
Wavefront sets for genuine representations of -covers of Kazhdan--Patterson or Savin types
Fan Gao, Runze Wang, Jiandi Zou
First, we consider general Brylinski--Deligne covers of the -adic general linear groups, and discuss the theory of Bernstein--Zelevinsky derivatives. We also recall the Zelevins…
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…
Gelfand--Graev representation as a Hecke algebra module of simple types of a finite central cover of
Jiandi Zou
For an -fold Kazhdan--Patterson cover or Savin's cover of a general linear group over a non-archimedean local field of residual characteristic with , we…
Distinction of the Steinberg representation with respect to a symmetric pair
Chuijia Wang, Jiandi Zou
Let be a non-archimedean local field of residual characteristic . Let be a connected reductive group over , let be an involution of over , and let $H…