## Classifying spaces for commutativity of low-dimensional Lie groups

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For each of the groups G = O(2), SU(2), U(2), we compute the integral and-cohomology rings of BcomG (the classifying space for commutativity of G), the action of the Steenrod algebra on the mod 2 cohomology, the homotopy type of EcomG (the homotopy fiber of the inclusion BcomG → BG), and some low-dimensional homotopy groups of BcomG.

Originalsprog Engelsk Mathematical Proceedings of the Cambridge Philosophical Society 46 0305-0041 https://doi.org/10.1017/S0305004119000240 Accepteret/In press - 1 jan. 2020

ID: 241485205