论文标题
théoriede bruhat-tits pour les groupes quasi-réductifs
Théorie de Bruhat-Tits pour les groupes quasi-réductifs
论文作者
论文摘要
We extend (scheme-theoretic) Bruhat-Tits theory to quasi-reductive groups i.e. with trivial split unipotent radical over discretely valued henselian non-archimedean fields $K$, whose ring of integers is excellent and residue field is perfect, building on Bruhat-Tits I et II and the classification of pseudo-reductive groups by Conrad-Gabber-Prasad.这些建筑物以前是由Solleveld以不同的方式建造的，但最终与我们的相吻合。我们受到仿生史拉尼亚人的几何形状的动机，并在最后提出了一些应用（也与先前提交的工作Arxiv：1912.11918相比）。
We extend (scheme-theoretic) Bruhat-Tits theory to quasi-reductive groups i.e. with trivial split unipotent radical over discretely valued henselian non-archimedean fields $K$, whose ring of integers is excellent and residue field is perfect, building on Bruhat-Tits I et II and the classification of pseudo-reductive groups by Conrad-Gabber-Prasad. The buildings had been constructed previously by Solleveld in a different manner, but they ultimately coincide with ours. We were motivated by the geometry of affine Grassmannians and give some applications at the end (compare also with previously submitted work arXiv:1912.11918).
