Timeline for Motivating the de Rham theorem
Current License: CC BY-SA 2.5
4 events
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| Oct 26, 2010 at 23:18 | comment | added | Johannes Ebert | Yes, this isomorphism lies quite at the heart of the whole story! And one can also mention that Cartan and Weil combined 1) and 2) and that this ultimately lead to the whole development of rational homotopy theory (modelling spaces by commutative d.g.a's). | |
| Oct 26, 2010 at 23:01 | comment | added | Faisal | Re 2): Perhaps it's worth mentioning that this connection between the cohomology of a compact connected Lie group G and the cohomology of its Lie algebra is what led Cartan to conjecture the de Rham theorem (cf. the first paragraph of Chevalley--Eilenberg). | |
| Oct 26, 2010 at 17:36 | history | edited | Johannes Ebert | CC BY-SA 2.5 |
added 37 characters in body; edited body
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| Oct 26, 2010 at 17:23 | history | answered | Johannes Ebert | CC BY-SA 2.5 |