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

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 $({P U}_{3} ⋊ Z / 2 Z, G_{2})$ .

Dihedral long root A-packets of $p$ -adic $G_{2}$ via theta correspondence

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Dihedral long root A-packets of $p$ -adic $G_{2}$ via theta correspondence

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Dihedral long root A-packets of pp-adic G2G2​ via theta correspondence

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Dihedral long root A-packets of pp-adic G2G2​ via theta correspondence

文献摘要

讨论

|讲解博客

|AI智能校验

Dihedral long root A-packets of $p$ -adic $G_{2}$ via theta correspondence

讲解博客

AI智能校验

Dihedral long root A-packets of $p$ -adic $G_{2}$ via theta correspondence

讲解博客

AI智能校验