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arxiv: 1603.07716 · v3 · pith:3L2FX7RNnew · submitted 2016-03-24 · 🧮 math.RT · math.NT

A combinatorial solution to M{oe}glin's parametrization of Arthur packets for p-adic quasisplit Sp(N) and O(N)

classification 🧮 math.RT math.NT
keywords packetsarthurcombinatorialglinquasisplitadicallowsanswer
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We develop a general procedure to study the combinatorial structure of Arthur packets for $p$-adic quasisplit $Sp(N)$ and $O(N)$ following the works of M{\oe}glin. This allows us to answer many delicate questions concerning the Arthur packets of these groups, for example the size of the packets.

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