Topology of unitary groups and the prime orders of binomial coefficients

被引：1

作者：

Duan, HaiBao ^{[1
,2
]}

Lin, XianZu ^{[3
]}

机构：

[1] Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

[3] Fujian Normal Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2017年 / 60卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Lie groups; cohomology; prime order of an integer;

D O I：

10.1007/s11425-016-9004-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let c: SU(n) -> PSU(n) = SU(n)/a" (n) be the quotient map of the special unitary group SU(n) by its center subgroup a" (n) . 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

页码：1543 / 1548

页数：6