Had my first class in Lie Algebras today. It was good. Mostly a review of Lie Groups and some basics with tangent bundles, and that [X, Y] multiplication. We also defined e^X (For an nxn matrix X) and derived the usual formulae (in particular det(e^X) = e^trace(X). There are about 8 of us in the class, which is relatively huge. At some point I'll talk about the anti-social traits of mathematicians. Not anti-social in a bad way, at all. There's no ill will behind it, which makes it all the more interesting and less obvious.
Also, I thought of making an inventor's little helper for FlyingSheep. It would step you through some thought exercises geared towards helping you invent the next big thing. It's only a germ of an idea right now, and it'll have to incubate considerably before it's ready to be implemented.
Anyways, I've got a dentist's appointment soon, so I've got to go. Wish me luck!
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