6
$\begingroup$

I try to understand why for a connected Lie group $G$ the first fundamental group $\pi_1(G)$ is abelian, and mainly why the second fundamental group is trivial $\pi_2(G)=0$?

Thanks for anyone who give me references for a 'simple proof' of these results

$\endgroup$
8
$\begingroup$

Some references:

$\endgroup$
  • $\begingroup$ Many thanks Willie, for the nice links. For $\pi_2(G)=0$ I guess there is no simple proof! :(( $\endgroup$ – amine Sep 4 '11 at 10:35

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.