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arXiv · 2308.05029

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

Raúl Alonso·Qiao He·Mishty Ray·Martí Roset
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Abstract

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 $(\mathrm{PU}_3\rtimes \mathbb{Z}/2\mathbb{Z}, G_2)$.

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Raúl Alonso, Qiao He, Mishty Ray, Martí Roset. 2023-08-09. Dihedral long root A-packets of $p$-adic $G_2$ via theta correspondence. https://arxiv.org/abs/2308.05029

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