Timeline for Postnikov Classes of Lie Groups
Current License: CC BY-SA 3.0
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| Dec 20, 2016 at 13:09 | comment | added | Matthias Wendt | For a classical example of how to classify bundles which also involves identification of Postnikov invariants in terms of cohomology operations see Dold-Whitney: Classification of oriented sphere bundles over a 4-complex. Ann. Math. 69 (1959), 667-677. | |
| Dec 20, 2016 at 13:05 | comment | added | Matthias Wendt | Whitehead products usually are operations on homotopy groups. If all Postnikov invariants for a space are trivial, then this space is a product of Eilenberg-Mac Lane spaces. This is not true for Lie groups (such as $S^3$). However, rationally there is a decomposition which relates to the fact that the Postnikov invariants for Lie groups (or H-spaces) have finite order. | |
| Dec 20, 2016 at 12:15 | history | asked | user404153 | CC BY-SA 3.0 |