Buildings and Groups II

CHAO Kuok Fai, LAI King Fai

doi:10.13371/j.cnki.chin.q.j.m.2020.03.001

Chinese Quarterly Journal of Mathematics >

2020 , Vol. 35 >Issue 3: 221 - 254

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.03.001

Buildings and Groups II

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Department of Mathematics, College of Science, Shanghai University. School of Mathematics and Statistics, Henan University

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.

Received date: 2019-10-08

Online published: 2020-10-22

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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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CHAO Kuok Fai, LAI King Fai . Buildings and Groups II[J]. Chinese Quarterly Journal of Mathematics, 2020 , 35(3) : 221 -254 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.03.001

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