Branching laws for classical groups: the non-tempered case
This paper generalizes the Gan–Gross–Prasad (GGP) conjectures that were earlier
formulated for tempered or more generally generic L-packets to Arthur packets, especially …
formulated for tempered or more generally generic L-packets to Arthur packets, especially …
A vanishing Ext-branching theorem for (GL n+ 1 (F), GL n (F))
KY Chan, G Savin - Duke Mathematical Journal, 2021 - projecteuclid.org
A vanishing Ext-branching theorem for (GLn+1(F), GLn(F)) Page 1 A VANISHING EXT-BRANCHING
THEOREM FOR .GLnC1.F /;GLn.F // KEI YUEN CHAN and GORDAN SAVIN Abstract We …
THEOREM FOR .GLnC1.F /;GLn.F // KEI YUEN CHAN and GORDAN SAVIN Abstract We …
Ext-multiplicity theorem for standard representations of
KY Chan - Mathematische Zeitschrift, 2023 - Springer
Let π 1 be a standard representation of GL n+ 1 (F) and let π 2 be the smooth dual of a
standard representation of GL n (F). When F is non-Archimedean, we prove that Ext GL n (F) …
standard representation of GL n (F). When F is non-Archimedean, we prove that Ext GL n (F) …
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 …
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 …
field. We fix an arbitrary irreducible representation\(\sigma\) of\(G_n\). Building on the work of …
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 …
be viewed as modules for the corresponding Hecke algebra—the endomorphism algebra of …
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 …
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 …
for representations of a group restricted to its subgroups in the context of $ p $-adic groups …
Quotient branching law for -adic I: generalized Gan-Gross-Prasad relevant pairs
KY Chan - arXiv preprint arXiv:2212.05919, 2022 - arxiv.org
Let $ G_n=\mathrm {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 …
field $ F $. We formulate and prove a necessary and sufficient condition on determining …
On the Lefschetz Principle for and
We construct an exact functor from the category of Harish-Chandra modules of $\mathrm
{GL} _n (\mathbb C) $ to the category of finite-dimensional modules of graded Hecke …
{GL} _n (\mathbb C) $ to the category of finite-dimensional modules of graded Hecke …