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arXiv · 2402.07423

Non-tempered Ext Branching Laws for the $p$-adic General Linear Group

Mohammed Saad Qadri
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Abstract

Let $F$ be a non-archimedean local field. Let $π_1$ and $π_2$ be irreducible Arthur type representations of $\mathrm{GL}_n(F)$ and $\mathrm{GL}_{n-1}(F)$ respectively. We study Ext branching laws when $π_1$ and $π_2$ are products of discrete series representations and their Aubert-Zelevinsky duals. We obtain an Ext analogue of the local non-tempered Gan-Gross-Prasad conjecture in this case.

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BibTeXRIS

Mohammed Saad Qadri. 2024-12-03. Non-tempered Ext Branching Laws for the $p$-adic General Linear Group. https://arxiv.org/abs/2402.07423

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