Topology of unitary groups and the prime orders of binomial coefficients

Haibao Duan; Xianzu Lin

doi:10.1007/s11425-016-9004-0

Topology of unitary groups and the prime orders of binomial coefficients

Algebraic Topology 2017-12-21 v6

Authors: Haibao Duan , Xianzu Lin

View on arXiv ↗ PDF ↗ DOI ↗

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

Keywords

unitary groups cohomology binomial coefficients prime orders special unitary group projective special unitary group

Cite

@article{arxiv.1502.00401,
  title  = {Topology of unitary groups and the prime orders of binomial coefficients},
  author = {Haibao Duan and Xianzu Lin},
  journal= {arXiv preprint arXiv:1502.00401},
  year   = {2017}
}

Comments

8 pages

Related papers

View all related →