Representations induced from cuspidal and ladder representations of classical p-adic groups

2020/10/15 by Bosnjak, Barbara
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2010.07619

Abstract

Let G_n denote either the group Sp(2n, F) or SO(2n+1, F) over a non-archimedean local field F. We determine the composition series of representations of G_n induced from cuspidal and ladder representations such that the minimal exponent in the cuspidal support of the ladder representation is greater than or equal to (1)/(2).

Related

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• Existence of cuspidal representations of p-adic reductive groups
• An analogue of ladder representations for classical groups
• Generic cuspidal representations of U(2,1)
• Simple cuspidal representations of symplectic groups: Langlands parameter