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 …

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 …

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 …