Degenerate principal series in the general case

2019/05/30 by Yeansu Kim, Baiying Liu, Kim, Yeansu +3
Mathematics · #11F70 #22E35 #22E50 #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT #msc:11F70 #msc:22E35 #msc:22E50

paper · pdf · doi:10.48550/arxiv.1905.13063

arxiv created 2019/05/30 · arxiv updated 2019/05/31

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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