R-群与SL（N）表示论中的几何结构
R-groups and geometric structure in the representation theory of SL(N)
摘要：
设$F$是特征为零的非阿基米德局部域，SL（N）= SL（N，F）.本文研究SL（N）的椭圆表示对$K$ -理论的影响。我们提供完整的算术细节。这项研究揭示了一个复杂的几何结构。有趣的一点是，$R$ -群被实现为各向同性群。我们的结果在一个特殊情况下说明了[3]中最近猜想的第（3）部分。
英文摘要：
Let $F$ be a nonarchimedean local field of characteristic zero and let SL(N) = SL(N,F). This article is devoted to studying the influence of the elliptic representations of SL(N) on the $K$-theory. We provide full arithmetic details. This study reveals an intricate geometric structure. One point of interest is that the $R$-group is realized as an isotropy group. Our results illustrate, in a special case, part (3) of the recent conjecture in [3].
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