Update and Items for Feb14-Feb16

Sorry, I’ve been in bed for about a week trying to recover from some bug. I finally got back to work on Wednesday and I’m moving back in the swing of things. I don’t really feel totally recovered to be honest, but I can’t take any more time off. I certainly have been quiet on this blog for too long.

Today I drew out the labels on the affine plane of (co?)roots of . My goal is to work out the calculations like I did for and give them geometric interpretations. My next step is to find representative vectors from each weight space .

Yesterday I dug up the Atiyah paper where I saw the parabola mentioned in my last post. But it doesn’t seem to be quite what I’m looking for, at least I don’t recognize it yet. So I’m trying to beat my way through Loop groups chapter 9 where there’s also a parabola. I need to find my notes from last year if any still exist.