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Topology of unitary groups and the prime orders of binomial coefficients |
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| Authors: | HaiBao Duan XianZu Lin |
| Institution: | 1.Institute of Mathematics, Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing,China;2.School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing,China;3.College of Mathematics and Computer Science,Fujian Normal University,Fuzhou,China |
| Abstract: | Let c: SU(n) → PSU(n) = SU(n)/? n be the quotient map of the special unitary group SU(n) by its center subgroup ? 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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