论文标题
扭曲的Satake Transform和Casselman-Shalika公式用于准分组
The Twisted Satake Transform and the Casselman-Shalika Formula for Quasi-Split Groups
论文作者
论文摘要
我们通过研究球形Hecke代数对紧凑型球形惠特克函数通过扭曲的Satake变换的空间来证明在非Archimedean局部领域的Casselman-Shalika公式。该方法对Casselman-Shalika公式中双重组的字符的外观提供了概念上的解释。
We prove the Casselman-Shalika formula for unramified groups over a non-archimedean local field by studying the action of the spherical Hecke algebra on the space of compact spherical Whittaker functions via the twisted Satake transform. This method provides a conceptual explanation of the appearance of characters of a dual group in the Casselman-Shalika formula.
