1. School of Mathematics and Statistics,Henan University 2. School of Mathematical Sciences,Capital Normal University
LAI King-fai(1948-), male, native of Zhong Shan, Guang Dong, Professor of Henan University,
Ph.D, engages in algebraic number theory; LIANG Zhi-bin(1979-), male, native of Lianyuan, Hunan, Associated Professor of Capital Normal University, Ph.D, engages in computer algebra, elliptic curves, mathematics
education.
1. School of Mathematics and Statistics,Henan University 2. School of Mathematical Sciences,Capital Normal University
LAI King-fai(1948-), male, native of Zhong Shan, Guang Dong, Professor of Henan University,
Ph.D, engages in algebraic number theory; LIANG Zhi-bin(1979-), male, native of Lianyuan, Hunan, Associated Professor of Capital Normal University, Ph.D, engages in computer algebra, elliptic curves, mathematics
education.
This is a pedagogical introduction to the theory of buildings of Jacques Tits and to some applications of this theory.This paper has 4 parts.In the first part we discuss incidence geometry,Coxeter systems and give two definitions of buildings.We study in the second part the spherical and affine buildings of Chevalley groups.In the third part we deal with Bruhat-Tits theory of reductive groups over local fields.Finally we discuss the construction of the p-adic flag manifolds.
This is a pedagogical introduction to the theory of buildings 〇£ Jacques Tits and to some applications of this theory. This paper has 4 parts. In the first part we discuss incidence geometry, Coxeter systems and give two definitions of buildings. We study in the second part the spherical and affine buildings of Chevalley groups. In the third part we deal with Bruhat-Tits theory of reductive groups over local fields. Finally we discuss the construction of the p-adic flag manifolds.
