Restriction for general linear groups: the local non-tempered Gan–Gross–Prasad conjecture (non-Archimedean case)

KY Chan - Journal für die reine und angewandte Mathematik …, 2022 - degruyter.com
We prove a local Gan–Gross–Prasad conjecture on predicting the branching law for the non-
tempered representations of general linear groups in the case of non-Archimedean fields …

On the Product Functor on Inner forms of the General Linear Group Over A Non-Archimedean Local Field

KY Chan - Transformation Groups, 2024 - Springer
Abstract Let\(G_n\) be an inner form of a general linear group over a non-Archimedean local
field. We fix an arbitrary irreducible representation\(\sigma\) of\(G_n\). Building on the work of …

[HTML][HTML] A vanishing theorem for Dirac cohomology of standard modules

KY Chan - Advances in Mathematics, 2018 - Elsevier
This paper studies the Dirac cohomology of standard modules in the setting of graded
Hecke algebras with geometric parameters. We prove that the Dirac cohomology of a …