Topology of unitary groups and the prime orders of binomial coefficients

被引:0
作者
HaiBao Duan
XianZu Lin
机构
[1] Chinese Academy of Sciences,Institute of Mathematics, Academy of Mathematics and Systems Science
[2] University of Chinese Academy of Sciences,School of Mathematical Sciences
[3] Fujian Normal University,College of Mathematics and Computer Science
来源
Science China Mathematics | 2017年 / 60卷
关键词
Lie groups; cohomology; prime order of an integer; 55T10;
D O I
暂无
中图分类号
学科分类号
摘要
Let c: SU(n) → PSU(n) = SU(n)/ℤn be the quotient map of the special unitary group SU(n) by its center subgroup ℤn. We determine the induced homomorphism c*: H*(PSU(n)) → H*(SU(n)) on cohomologies by computing with the prime orders of binomial coefficients.
引用
收藏
页码:1543 / 1548
页数:5
相关论文
共 4 条
[1]  
Baum P F(1965)The cohomology of quotients of classical groups Topology 3 305-336
[2]  
Browder W(1953)Sur la cohomologie des espaces fibres principaux et des espaces homogenes de groupes de Lie compacts Ann of Math 57 115-207
[3]  
Borel A(1958)Torsion homologique et sections rationnelles Sem Claude Chevalley 3 1-29
[4]  
Grothendieck A(undefined)undefined undefined undefined undefined-undefined