Topology of unitary groups and the prime orders of binomial coefficients

Let \(c:SU(n)\rightarrow PSU(n)=SU(n)/\mathbb{Z}_{n}\) be the quotient map of the special unitary group \(SU(n)\) by its center subgroup \(\mathbb{Z}_{n}\). We determine the induced homomorphism \(c^{\ast}:\) \(H^{\ast}(PSU(n))\rightarrow H^{\ast}(SU(n))\) on cohomologies by computing with the prime...

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Bibliographic Details
Published inarXiv.org
Main Authors Duan, Haibao, Lin, Xianzu
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.02.2017
Subjects
Binomial coefficients
Homomorphisms
Mathematics - Algebraic Topology
Subgroups
Topology
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Summary:Let \(c:SU(n)\rightarrow PSU(n)=SU(n)/\mathbb{Z}_{n}\) be the quotient map of the special unitary group \(SU(n)\) by its center subgroup \(\mathbb{Z}_{n}\). We determine the induced homomorphism \(c^{\ast}:\) \(H^{\ast}(PSU(n))\rightarrow H^{\ast}(SU(n))\) on cohomologies by computing with the prime orders of binomial coefficients
ISSN:2331-8422
DOI:10.48550/arxiv.1502.00401