Classifying spaces for commutativity of low-dimensional Lie groups
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- Classifying spaces for commutativity of low-dimensional Lie groups
Accepted author manuscript, 533 KB, PDF document
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.
| Original language | English |
|---|---|
| Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
| Volume | 169 |
| Issue number | 3 |
| Pages (from-to) | 433-478 |
| ISSN | 0305-0041 |
| DOIs | |
| Publication status | Published - 2020 |
- 2010 Mathematics Subject Classification:, 22E99, Primary: 55R40, Secondary: 55R20
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