K. Chan

activity

20222026

collaborators

7 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.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…

math.RT2025

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.RT2024

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.RT2023

On the Lefschetz Principle for $GL (n, C)$ and $GL (m, Q_{p})$

Kei Yuen Chan, Kayue Daniel Wong

We construct an exact functor from the category of Harish-Chandra modules of $GL_{n} (C)$ to the category of finite-dimensional modules of graded Hecke algebras of ty…

math.RT2022

Quotient branching law for $p$ -adic $(GL_{n + 1}, GL_{n})$ I: generalized Gan-Gross-Prasad relevant pairs

Kei Yuen Chan

Let $G_{n} = GL_{n} (F)$ be the general linear group over a non-Archimedean local field $F$ . We formulate and prove a necessary and sufficient condition on determining when \[ \m…

math.RT2022

Duality for generalized Gan-Gross-Prasad relevant pairs for $p$ -adic $GL_{n}$

Kei Yuen Chan

The main goal of this article is to formulate a notion, called a generalized GGP relevant pair, governing the quotient branching law for $p$ -adic general linear groups. Such notion…

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

Discrete series for the graded Hecke algebra of type H4​

Algorithms for parabolic inductions and Jacquet modules in GLn​

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

On the Lefschetz Principle for GL(n,C) and GL(m,Qp​)

Quotient branching law for p-adic (GLn+1​,GLn​) I: generalized Gan-Gross-Prasad relevant pairs

Duality for generalized Gan-Gross-Prasad relevant pairs for p-adic GLn​

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

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

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

On the Lefschetz Principle for $GL (n, C)$ and $GL (m, Q_{p})$

Quotient branching law for $p$ -adic $(GL_{n + 1}, GL_{n})$ I: generalized Gan-Gross-Prasad relevant pairs

Duality for generalized Gan-Gross-Prasad relevant pairs for $p$ -adic $GL_{n}$