约化p-进群容许表示的迹特征与增长
表示论
2016-03-08 v3
摘要
我们利用仿射Bruhat-Tits建筑上的系数系统，研究特征不等于p的约化p-进群的容许表示。我们证明了迹函数是局部常值的，并给出了显式的常值邻域。我们估计了紧开子群的不变子空间的增长。
引用
@article{arxiv.0908.1489,
title = {Characters and growth of admissible representations of reductive p-adic groups},
author = {Ralf Meyer and Maarten Solleveld},
journal= {arXiv preprint arXiv:0908.1489},
year = {2016}
}
备注
Changes in the third version: the proof of Theorem 7.2 contained some mistakes. We repaired it, but to make it work we had to adjust Definition 7.1 a little