STUDY OF A Z-FORM OF THE COORDINATE RING OF A REDUCTIVE GROUP

摘要

In his famous paper [C1] Chevalley associated to any root datum of adjoint typeand to any field k a certain group (now known as a Chevalley group) which inthe case where k = C was the usual adjoint Lie group over C and which in thecase where k is finite led to some new families of finite simple groups. Let 0'be the coordinate ring of a connected semisimple group G over C attached to afixed (semisimple) root datum.