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arxiv: 1801.06753 · v3 · pith:2OYTT6AWnew · submitted 2018-01-21 · 🧮 math.RT

Unitary dual of quasi-split PGSO₈^E

classification 🧮 math.RT
keywords pgsoclassificationdualquasi-splitunitaryacuteaubertcasselman-tadi
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In this paper, we first determine the explicit Langlands classification for the quasi-split group $PGSO_8^E$ by following Casselman-Tadi$\acute{c}$'s Jacquet module machine. Based on the classification, we furthur sort out the unitary dual of $PGSO_8^E$ and compute the Aubert duality.

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