交织算子的规范化与尖表示诱导表示的不可约性：p进经典群情形
表示论
2016-09-07 v1
摘要
我们展示 Arthur 猜想如何允许我们计算经典群的尖表示诱导表示的不可约点。所用到的 Arthur 猜想涉及经典群的尖自守表示到合适的线性群的弱提升的存在性。而不可约点用对偶群上幂单轨道的几何来描述。我们推导出关于交织算子规范化的若干结果。We show how the global conjectures of Arthur allow us to calculate the points of irreducibility for representations induced from cuspidal representations of classical groups. The conjectures of Arthur used are concerned with the existence of weak liftings of automorphic representations from classical groups to suitable linear ones. And the points of irreducibility are described in terms of the geometry of unipotent orbits on the dual group. We deduce certain results about the normalization of intertwining operators.
引用
@article{arxiv.math/0003242,
title = {Normalisation des op\'erateurs d'entrelacement et r\'eductibilit\'e des induites de cuspidales; le cas des groupes classiques p-adiques},
author = {Colette Mœglin},
journal= {arXiv preprint arXiv:math/0003242},
year = {2016}
}
备注
31 pages, French, published version, abstract added in migration