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arXiv · 1905.13063

Degenerate principal series in the general case

Yeansu Kim·Baiying Liu·Ivan Matic
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Abstract

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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Yeansu Kim, Baiying Liu, Ivan Matic. 2019-05-30. Degenerate principal series in the general case. https://arxiv.org/abs/1905.13063

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