论文标题
算术家庭中的无限字符
Infinitesimal characters in arithmetic families
论文作者
论文摘要
我们将无限字符与(扭曲的)$ l $ - 参数和$ c $ - $ P $ ADIC还原群的参数相关联。我们使用该结构来研究通用包围代数对完整共同体中Hecke eigenspaces本地分析载体的作用。
We associate infinitesimal characters to (twisted) families of $L$-parameters and $C$-parameters of $p$-adic reductive groups. We use the construction to study the action of the centre of the universal enveloping algebra on the locally analytic vectors in the Hecke eigenspaces in the completed cohomology.