论文标题
古典群体的梯子代表类似物
An analogue of ladder representations for classical groups
论文作者
论文摘要
在本文中，我们介绍了一个偏分的特殊正交组和符号群的阶梯表示概念，这些群体是特征性零的局部局部领域的概念。这是可允许的双重阶级的天然类别，其中包含具有不可约合A参数的强烈积极离散序列表示和不可约的表示。我们计算了jacquet模块和梯子表示的Aubert双重，并建立了一个公式来描述梯形表示标准模块的线性组合。
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.
