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arxiv: 1905.13063 · v1 · pith:LSILBHN6new · submitted 2019-05-30 · 🧮 math.RT · math.NT

Degenerate principal series in the general case

classification 🧮 math.RT math.NT
keywords principalseriesdegenerateaubertcasecharacteristiccompositiondenote
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Let $G_n$ denote either the group $SO(2n+1, F)$, $Sp(2n, F)$, or $GSpin(2n+1, F)$ over a non-archimedean local field of characteristic different than two. We determine all composition factors of degenerate principal series of $G_n$, using methods based on the Aubert involution and known results on irreducible subquotiens of the generalized principal series of particular type.

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