Building and Groups Ⅰ
楼与群Ⅰ作者机构：School of Mathematics and StatisticsHenan UniversityKaifengHenan475004China School of Mathematical SciencesCapital Normal UniversityBeijing100048China
出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊（英文版）)
年 卷 期：2020年第35卷第1期
页 面：1-28页
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题：Buildings Incidence geometry Coxeter groups Chevalley groups Reductive groups Hecke algebras P-adic symmetric spaces
摘 要：This is a pedagogical introduction to the theory of buildings of Jacques Tits and to some applications of this *** paper has 4 *** the first part we discuss incidence geometry,Coxeter systems and give two definitions of *** study in the second part the spherical and affine buildings of Chevalley *** the third part we deal with Bruhat-Tits theory of reductive groups over local *** we discuss the construction of the p-adic flag manifolds.
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