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arXiv · 1502.00401

Topology of unitary groups and the prime orders of binomial coefficients

Haibao Duan·Xianzu Lin
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Abstract

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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Haibao Duan, Xianzu Lin. 2015-02-02. Topology of unitary groups and the prime orders of binomial coefficients. https://doi.org/10.1007/s11425-016-9004-0

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