Kei Yuen Chan

collaborators

5 papers

math.RT2026

An inductive Ext non-vanishing theorem for the $p$ -adic general linear group

Kei Yuen Chan, Mohammed Saad Qadri

We study some homological properties of the parabolic induction functor for the $p$ -adic general linear group. We obtain an embedding theorem of Ext-groups in the context of parabo…

math.RT2026

Construction of simple quotients of Bernstein-Zelevinsky derivatives and highest derivative multisegments III: properties of minimal sequences

Kei Yuen Chan

Let $F$ be a non-Archimedean local field. For an irreducible smooth representation $I ¨ $ of $GL_{n} (F)$ and a multisegment $m$ , one associates a simple quotient $D_…

math.RT2026

Algorithms for parabolic inductions and Jacquet modules in $GL_{n}$

Kei Yuen Chan, Basudev Pattanayak

In this article, we present algorithms for computing parabolic inductions and Jacquet modules for the general linear group $G$ over a non-Archimedean local field. Given the Zelevin…

math.RT2026

Dual of the Geometric Lemma and the Second Adjointness Theorem for $p$ -adic reductive groups

Kei Yuen Chan

Let $P, Q$ be standard parabolic subgroups of a $p$ -adic reductive group $G$ . We study the smooth dual of the filtration on a parabolically induced module arising from the geometric…

math.RT2025

Discrete series for the graded Hecke algebra of type $H_{4}$

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 $H_{4}$ coincides with the set of the Heckman-Opd…

An inductive Ext non-vanishing theorem for the p-adic general linear group

Construction of simple quotients of Bernstein-Zelevinsky derivatives and highest derivative multisegments III: properties of minimal sequences

Algorithms for parabolic inductions and Jacquet modules in GLn​

Dual of the Geometric Lemma and the Second Adjointness Theorem for p-adic reductive groups

Discrete series for the graded Hecke algebra of type H4​

An inductive Ext non-vanishing theorem for the $p$ -adic general linear group

Algorithms for parabolic inductions and Jacquet modules in $GL_{n}$

Dual of the Geometric Lemma and the Second Adjointness Theorem for $p$ -adic reductive groups

Discrete series for the graded Hecke algebra of type $H_{4}$