Homological branching law for : projectivity and indecomposability

KY Chan - Inventiones mathematicae, 2021 - Springer
Let F be a non-Archimedean local field. This paper studies homological properties of
irreducible smooth representations restricted from GL _ n+ 1 (F) GL n+ 1 (F) to GL _n (F) GL …

On principal series representations of quasi-split reductive p-adic groups

M Solleveld - arXiv preprint arXiv:2304.06418, 2023 - arxiv.org
Let G be a quasi-split reductive group over a non-archimedean local field. We establish a
local Langlands correspondence for all irreducible smooth complex G-representations in the …

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 …

Bernstein–Zelevinsky derivatives: a Hecke algebra approach

KY Chan, G Savin - International Mathematics Research Notices, 2019 - academic.oup.com
Let G be a general linear group over ap-adic field. It is well known that Bernstein
components of the category of smooth representations of G are described by Hecke …

Hermitian duals and generic representations for affine Hecke algebras

E Opdam, M Solleveld - arXiv preprint arXiv:2309.04829, 2023 - arxiv.org
We further develop the abstract representation theory of affine Hecke algebras with arbitrary
positive parameters. We establish analogues of several results that are known for reductive …

The Gelfand–Graev representation of classical groups in terms of Hecke algebras

P Bakić, G Savin - Canadian Journal of Mathematics, 2023 - cambridge.org
Let G be a p-adic classical group. The representations in a given Bernstein component can
be viewed as modules for the corresponding Hecke algebra—the endomorphism algebra of …

Genuine pro- Iwahori–Hecke algebras, Gelfand–Graev representations, and some applications

F Gao, N Gurevich, E Karasiewicz - Journal of the European …, 2024 - ems.press
Genuine pro-p Iwahori–Hecke algebras, Gelfand–Graev representations, and some applications
Page 1 © 2024 European Mathematical Society Published by EMS Press J. Eur. Math. Soc …

Principal series component of Gelfand-Graev representation

M Mishra, B Pattanayak - Proceedings of the American Mathematical …, 2021 - ams.org
Let $ G $ be a connected reductive group defined over a non-archimedean local field $ F $.
Let $ B $ be a minimal $ F $-parabolic subgroup with Levi factor $ T $ and unipotent radical …

Construction of simple quotients of Bernstein-Zelevinsky derivatives and highest derivative multisegments

KY Chan - arXiv preprint arXiv:2111.13286, 2021 - arxiv.org
Let $ F $ be a non-Archimedean field. A sequence of derivatives of generalized Steinberg
representations can be used to construct simple quotients of Bernstein-Zelevinsky …

Homological aspects of branching laws

D Prasad - arXiv preprint arXiv:2302.03492, 2023 - arxiv.org
In this mostly expository article, we consider certain homological aspects of branching laws
for representations of a group restricted to its subgroups in the context of $ p $-adic groups …