楼与群Ⅱ

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

数学季刊 ›› 2020, Vol. 35 ›› Issue (3): 221-254.doi: 10.13371/j.cnki.chin.q.j.m.2020.03.001

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楼与群Ⅱ

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

收稿日期:2019-10-08 出版日期:2020-09-30 发布日期:2020-10-22
作者简介: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.

Buildings and Groups II

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.

摘要/Abstract

摘要： 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.

关键词: (B, N) pairs, Tits system, Chevalley groups, classical groups, Buildings, , flag varieties

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

中图分类号:

O152

周国晖 , 黎景辉. 楼与群Ⅱ[J]. 数学季刊, 2020, 35(3): 221-254.

CHAO Kuok Fai, LAI King Fai. Buildings and Groups II[J]. Chinese Quarterly Journal of Mathematics, 2020, 35(3): 221-254.

楼与群Ⅱ

Buildings and Groups II

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