标题： 关于Satake同构 显示英文标题

标题： On the Satake isomorphism

摘要： 在1983年的论文中，作者已经为仿射Hecke代数建立了(去范畴化的)Satake等价性。 在本文中，我们给出了该论文中一些结果的新证明，一个基于J-环的理论，另一个基于在正的大特征下约化群的有理表示的已知特征公式。 我们还给出了该特征公式到不连通群的扩展。 显示英文摘要

摘要： 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.