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Proof of Vogan's conjecture on Arthur packets for $\mathop{GL}_n$ over $p$-adic fields (2302.10300v2)

Published 20 Feb 2023 in math.RT and math.NT

Abstract: In this paper we prove Vogan's conjecture on Arthur packets for general linear groups over $p$-adic fields, building on earlier work. The proof uses a special case of endoscopic lifting, adapted from the 1992 book by Adams, Barbasch and Vogan, where it was articulated for real groups.

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