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Topology of unitary groups and the prime orders of binomial coefficients

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Abstract

Let c: SU(n) → PSU(n) = SU(n)/ℤ n 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.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 11131008, 11401098 and 11661131004) and National Basic Research Program of China (973 Program) (Grant No. 2011CB302400). The authors thank the referees for useful comments and suggestions.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    HaiBao Duan

  2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China

    HaiBao Duan

  3. College of Mathematics and Computer Science, Fujian Normal University, Fuzhou, 350108, China

    XianZu Lin

Authors
  1. HaiBao Duan
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  2. XianZu Lin
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Correspondence to HaiBao Duan.

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Dedicated to Professor Boju Jiang on the Occasion of His 80th Birthday

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Duan, H., Lin, X. Topology of unitary groups and the prime orders of binomial coefficients. Sci. China Math. 60, 1543–1548 (2017). https://doi.org/10.1007/s11425-016-9004-0

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  • DOI: https://doi.org/10.1007/s11425-016-9004-0

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