An analogue of ladder representations for classical groups

Hiraku Atobe

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arXiv · 2209.15163

An analogue of ladder representations for classical groups

Hiraku Atobe

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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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Hiraku Atobe. 2022-09-30. An analogue of ladder representations for classical groups. https://arxiv.org/abs/2209.15163

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