Characters and growth of admissible representations of reductive p-adic groups
Characters and growth of admissible representations of reductive p-adic groups
复制标题
还原p进群的特征和可接受表示的增长
DOI：
--
复制
发表时间：
2009
影响因子：
0.9
通讯作者：
M. Solleveld
中科院分区：
文献类型：
--
作者：
R. Meyer;M. Solleveld
摘要利用仿射Bruhat-Tits建筑上的系数系统研究特征不等于p的约化p-adic群的容许表示，证明了特征函数是局部常数，并给出了显式的常数邻域。我们估计了紧开子群的不变量子空间的增长性。
Abstract We use coefficient systems on the affine Bruhat–Tits building to study admissible representations of reductive p-adic groups in characteristic not equal to p. We show that the character function is locally constant and provide explicit neighbourhoods of constancy. We estimate the growth of the subspaces of invariants for compact open subgroups.