On a "Wonderful" Bruhat-Tits group scheme

Abstract

In this note we make a universal construction of Bruhat-Tits group scheme on wonderful embeddings of adjoint groups in the absolute and relative settings and of adjoint Kac-Moody groups. These have natural classifying properties reflecting the orbit structure on the wonderful embeddings.

In the revised version, most of Section 3 is rewritten for accuracy. The main Theorems remain the same