4 papers
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.RT2024
Radical subgroups of finite reductive groups
Zhicheng Feng, Jun Yu, Jiping Zhang
Radical subgroups play an important role in both finite group theory and representation theory. This is the first of a series of papers of ours in classifying radical -subgroups…
math.RT2023
Cartan--Helgason theorem for quaternionic symmetric and twistor spaces
Clemens Weiske, Jun Yu, Genkai Zhang
Let be a complex quaternionic symmetric pair with having an ideal , $\mathfrak{k}=\mathfrak{sl}(2, \math…
math.RT2021
A proof of Casselman's comparison theorem for standard minimal parabolic subalgebra
Ning Li, Gang Liu, Jun Yu
Let be a real linear reductive group and be a maximal compact subgroup. Let be a minimal parabolic subgroup of with complexified Lie algebra , and $\m…