Items for Jan 29-Jan 31 « Tom’s Math Weblog

Items for Jan 29-Jan 31

By trdunlap2

I will do some calculations described in 5.2 of Loop Groups. They say for example that their generators for $L\mathfrak{g}_\mathbb{C}$ can easily be shown to satisfy the relations which define $\mathfrak{g}_\mathbb{C}$ . But without giving it dedicated scrutiny I don’t even know how the calculations look.

I will try to rediscover my understanding of the proof that $W_\text{aff}$ is a semidirect product and explain it here as soon as I do.

I will peruse chapter 4. Perhaps I can find the necessary material to press on to Chapter 6 next week.

This entry was posted on January 29, 2008 at 12:07 pm and is filed under Planning. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

One Response to “Items for Jan 29-Jan 31”

trdunlap2 Says:
February 1, 2008 at 11:52 am | Reply
I did do a calculation for $L\mathfrak{sl}_3$ — its straightforward. I’ll write up something after my meeting with Nadler today so I don’t forget how straightforward it is.

Didn’t quite get to look at chapter 4 yet.

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