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…
Covering Barbasch-Vogan duality and wavefront sets of genuine representations
Fan Gao, Baiying Liu, Chi-Heng Lo +1
In this paper, we start by defining a covering Barbasch-Vogan duality and prove some of its properties. Then, for genuine representations of -adic covering groups we formulate a…
Geometric wavefront sets of genuine Iwahori-spherical representations
Fan Gao, Runze Wang
For Iwahori-spherical genuine representations of central covers with positive real Satake parameters, we prove the upper bound inequality for their geometric wavefront sets, formul…
Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras
Zhanqiang Bai, Fan Gao, Yutong Wang +1
In this paper, we give an efficient algorithm to compute the Gelfand-Kirillov dimensions of simple highest weight modules of exceptional Lie algebras. By using the Sommers-Achar du…