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Topology of unitary groups and the prime orders of binomial coefficients

Topology of unitary groups and the prime orders of binomial coefficients
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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 Z_n. We determine the induced homomorphism c*: H*(PSU(n)) → H*(SU(n)) on cohomologies by computing with the prime orders of binomial coefficients. 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.
出处 《Science China Mathematics》 SCIE CSCD 2017年第9期1543-1548,共6页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China(Grant Nos.11131008,11401098 and 11661131004) National Basic Research Program of China(973 Program)(Grant No.2011CB302400)
关键词 Lie groups cohornology prime order of an integer 二项式系数 素数阶 酉群 生日 拓扑 上同调 子群 同态
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