Supercuspidal characters of reductive p-adic groups
Supercuspidal characters of reductive p-adic groups
复制标题
还原p-进群的超尖峰特征
DOI：
10.1353/ajm.0.0060
复制
发表时间：
2007
影响因子：
1.7
通讯作者：
Loren Spice
中科院分区：
文献类型：
--
作者：
J. Adler;Loren Spice
我们计算了约化$p~-进群的许多超尖角表示的特征。具体地说，我们处理通过Yu的构造从满足一定紧性条件的数据中产生的表示。每个字符都用一个较小组的深度为零的字符、余氏构造中出现的(线性)字符、轨道积分的傅立叶变换以及某些符号和基数来表示，这些符号和基数是根据与表示相关联的基准和字符求值的元素来明确描述的。
We compute the characters of many supercuspidal representations of reductive $p$-adic groups. Specifically, we deal with representations that arise via Yu's construction from data satisfying a certain compactness condition. Each character is expressed in terms of a depth-zero character of a smaller group, the (linear) characters appearing in Yu's construction, Fourier transforms of orbital integrals, and certain signs and cardinalities that are described explicitly in terms of the datum associated to the representation and of the element at which the character is evaluated.