paper

The cohomology of projective unitary groups

arXiv:1710.09222 · doi:10.1134/S0081543824040084

Abstract

The projective unitary group PU(n) is the quotient of the unitary group U(n) by its center. We compute the integral cohomology ring of PU(n) using explicit constructed generators.

24 pages, to appear in Proceedings of the Steklov Institute of Mathematics