3 papers
math.RT2026
An inductive Ext non-vanishing theorem for the -adic general linear group
Kei Yuen Chan, Mohammed Saad Qadri
We study some homological properties of the parabolic induction functor for the -adic general linear group. We obtain an embedding theorem of Ext-groups in the context of parabo…
math.RT2025
Discrete series for the graded Hecke algebra of type
Kei Yuen Chan, Simeng Huang
This article confirms the prediction that the set of discrete series central character for the graded (affine) Hecke algebra of type coincides with the set of the Heckman-Opd…
math.RT2025
Algorithms for parabolic inductions and Jacquet modules in
Kei Yuen Chan, Basudev Pattanayak
In this article, we present algorithms for computing parabolic inductions and Jacquet modules for the general linear group over a non-Archimedean local field. Given the Zelevin…