Chinese Quarterly Journal of Mathematics ›› 2020, Vol. 35 ›› Issue (3): 221-254.doi: 10.13371/j.cnki.chin.q.j.m.2020.03.001

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Buildings and Groups II

  

  1. Department of Mathematics, College of Science, Shanghai University. School of Mathematics and Statistics, Henan University
  • Received:2019-10-08 Online:2020-09-30 Published:2020-10-22
  • About author:CHAO Kuok Fai(1981-), male, native of Macau, China, an associate professor of Shanghai University, engages in number theory, group representation and noncommutative geometry; LAI King Fai(1948-), male, native of Zhongshan, Guangdong, a distinguished professor of Henan University, engages in number theory.

Abstract: This is the second part of a pedagogical introduction to the theory of buildings of Jacques Tits. We define a(B,N) pair and construct a building out of it. Then we give a description of Chevalley groups, their(B,N) pair and the associated buildings. We illustrates this theory with many examples from classical groups. 

Key words: (B, N) pairs, Tits system, Chevalley groups, classical groups, Buildings, , flag , varieties

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