An analogue of ladder representations for classical groups

2022/09/30 by Atobe, Hiraku
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2209.15163

Abstract

In this paper, we introduce a notion of ladder representations for split odd special orthogonal groups and symplectic groups over a non-archimedean local field of characteristic zero. This is a natural class in the admissible dual which contains both strongly positive discrete series representations and irreducible representations with irreducible A-parameters. We compute Jacquet modules and the Aubert duals of ladder representations, and we establish a formula to describing ladder representations in terms of linear combinations of standard modules.

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