Abstract
Let G n G_n denote either the group S O ( 2 n + 1 , F ) SO(2n+1, F) , S p ( 2 n , F ) Sp(2n, F) , or G S p i n ( 2 n + 1 , F ) 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 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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