Recent content by Firefly!

Let G = SU(n), T = maximal torus of G (so T is the group of diagonal matrices in SU(n) with elements in S^1) M = C^infinity functions f: S^1 -> G s.t. f(0)=1 There is a T x S^1 action on M. T acts by conjugation & S^1 actions by "rotation"; (e^it.f)(s)=f(s+t)/f(t). I'm trying to...

Yes, thank you! It did help :) I finally understand the last few examples now too thanks to your explanations.

No I did not. I do not know Prof. Tolman, nor do I go to UIUC. I know that is no excuse. I merely thought I would first try to find somebody that might be able to help me understand this math on a forum like this one.

I hadn't been aware of how to properly post/compose messages in these sorts of forums. So thank you for the advice. I now know. No I am not a student of Prof. Tolman. I found her lecture notes online, the notes say they are from 2002. I meant the very last corollary on page 4...

on page 4 of the March 17th lecture found at http://www-math.mit.edu/~sara/tolman.lectures/ (you need to scroll down a bit to see the link the March17 lecture) In the first corollary, when they say map 1 = map 4 = 0 do they mean these are 0-homomorphisms? Another other dumb question...