Classifying spaces for commutativity of low-dimensional Lie groups
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- 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 |
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Tidsskrift | Mathematical Proceedings of the Cambridge Philosophical Society |
Vol/bind | 169 |
Udgave nummer | 3 |
Sider (fra-til) | 433-478 |
ISSN | 0305-0041 |
DOI | |
Status | Udgivet - 2020 |
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