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 …
Gross–Prasad periods for reducible representations
D Loeffler - Forum Mathematicum, 2021 - degruyter.com
Abstract We study GL 2(F)-invariant periods on representations of GL 2(A), where F is a
non-archimedean local field and A/F a product of field extensions of total degree 3. For …
non-archimedean local field and A/F a product of field extensions of total degree 3. For …
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 …
Ext branching laws for the general linear group
MS Qadri - arXiv preprint arXiv:2402.07423, 2024 - arxiv.org
Let $ F $ be a non-archimedean local field. Let $\pi_1 $ and $\pi_2 $ be irreducible Arthur
type representations of $\mathrm {GL} _n (F) $ and $\mathrm {GL} _ {n-1}(F) $ respectively …
type representations of $\mathrm {GL} _n (F) $ and $\mathrm {GL} _ {n-1}(F) $ respectively …
Ext-distinction for -adic symmetric spaces
C Yang - arXiv preprint arXiv:2312.10974, 2023 - arxiv.org
Let $ G/H $ be a $ p $-adic symmetric space. We compute explicitly the higher relative
extension groups for all discrete series representations of $ G $ in two examples: the …
extension groups for all discrete series representations of $ G $ in two examples: the …
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 …
On commutations of derivatives and integrals of -irreducible representations for -adic
KY Chan - arXiv preprint arXiv:2210.17249, 2022 - arxiv.org
Let $ G_n $ be an inner form of the general linear group over a non-Archimedean field $ F $.
For a $\square $-irreducible representation $\sigma $ of $ G_n $ and an irreducible …
For a $\square $-irreducible representation $\sigma $ of $ G_n $ and an irreducible …
On Higher Multiplicity upon Restriction from to
MS Qadri - arXiv preprint arXiv:2308.06698, 2023 - arxiv.org
Let $ F $ be a non-archimedean local field. Let $\Pi $ be a principal series representation of
$\rm {GL} _n (F) $ induced from a cuspidal representation of a Levi subgroup. When $\pi $ is …
$\rm {GL} _n (F) $ induced from a cuspidal representation of a Levi subgroup. When $\pi $ is …