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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Published in | arXiv.org |
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Main Authors | , |
Format | Paper Journal Article |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
10.02.2017
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Subjects | |
Online Access | Get full text |
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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 |
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ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.1502.00401 |