Degenerate principal series for classical and odd GSpin groups in the general case

Kim, Yeansu; Liu, Baiying; Matić, Ivan

doi:10.1090/ert/548

Degenerate principal series for classical and odd GSpin groups in the general case
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by Yeansu Kim, Baiying Liu and Ivan Matić PDF

Represent. Theory 24 (2020), 403-434 Request permission

Abstract:

Let $G_n$ denote either the group $SO(2n+1, F)$, $Sp(2n, F)$, or $G{\mathrm {Spin}}(2n+1, F)$ over a non-archimedean local field of characteristic different from 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 subquotients of the generalized principal series of a particular type.

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