论文标题
在饱满的同构上
On the Satake isomorphism
论文作者
论文摘要
在1983年的一篇论文中,作者为Aggine Hecke代数建立了一个(脱分化的)萨克克。在本文中,我们为该论文的某些结果提供了新的证据,该证明基于J-Ring的理论,并基于已知的字符公式,用于以正面,大型,特征性的还原群体的理性表示。我们还将该字符公式的扩展为断开的组。
In a 1983 paper the author has established a (decategorified) Satake equivalence for affine Hecke algebras. In this paper we give new proofs for some results of that paper, one based on the theory of J-rings and one based on the known character formula for rational representations of a reductive group in positive, large, characteristic. We also give an extension of that character formula to disconnected groups.