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arXiv:2308.05029 [math.RT]AbstractReferencesReviewsResources

Dihedral long root A-packets of $p$-adic $G_2$ via theta correspondence

Raúl Alonso, Qiao He, Mishty Ray, Martí Roset

Published 2023-08-09Version 1

We construct local Arthur packets associated with a dihedral long root $A$-parameter of a split reductive group of type $G_2$ over a nonarchimedian local field of characteristic zero. The construction relies on an exceptional correspondence for the pair $(\mathrm{PU}_3\rtimes \mathbb{Z}/2\mathbb{Z}, G_2)$.

Comments: 41 pages. Comments welcome
Categories: math.RT, math.NT
Subjects: 11F27, 11F70, 22E50
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