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Non-tempered Ext Branching Laws for the $p$-adic General Linear Group (2402.07423v2)
Published 12 Feb 2024 in math.RT
Abstract: 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. We study Ext branching laws when $\pi_1$ and $\pi_2$ 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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