Strongly concave functions on root systems

Mathematica Slovaca

François Courtès¹ 

关键词: root systems;    algebraic groups over local fields;    Bruhat-Tits building;   

DOI  :  10.2478/s12175-011-0027-0

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

Let F be a local complete field with discrete valuation, and let G be the group of F-points of a quasisplit group over F. Let ℬ be the Bruhat-Tits building of G and let A be an apartment of ℬ; we establish a link between bounded closed subsets of A and a special kind of functions on the relative root system Φ of G, which will be called strongly concave functions. This paper is devoted to the study of such functions.

【 授权许可】

Unknown