AI 中文总结
研究局部函数域上非分歧群\(G\),在正特征下引入抽象范数映射,通过(扭曲)迹公式稳定化过程,证明正则半单元素的基变换基本引理。
AI 中文摘要
设\(G\)是特征\(p>0\)的局部函数域上的非分歧群。本文在正特征情形下引入了\(G\)的扭曲共轭类与共轭类之间的抽象范数映射,应用(扭曲)迹公式的稳定化过程,并证明了正则半单元素的相应基变换基本引理。
英文摘要
Let $G$ be an unramified group over a local function field of characteristic $p>0$. This article introduces an abstract norm map between the twisted conjugacy classes and conjugacy classes of $G$ in the positive characteristics setting, applies the process of stabilization of (twisted) trace formula and proves the corresponding base change fundamental lemma for regular semisimple elements.
Comments40 pages. arXiv admin note: text overlap with arXiv:1012.4968 by other authors