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 …
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 …