It's done!
Managed to finish reading up to the required sections on Humphreys. So basically I have covered: Definitions, examples of Linear Lie algebras, ideals and homomorphisms, derivations and automorphisms, semisimple algebras, solvablility, nilpotence, Engel's Theorem, Lie's Theorem and Cartan's Criterion for solvable algebra's.
The parts I left out are Jordan decompostion theorem.
I just realized that Lie algebra deals heavily with linear algebra (the study of vector spaces). Time for me to brush up on that area.
Now have to start on exercises, I'm so not looking forward to that. On sunday better start doing the LPC camp booklet.
The parts I left out are Jordan decompostion theorem.
I just realized that Lie algebra deals heavily with linear algebra (the study of vector spaces). Time for me to brush up on that area.
Now have to start on exercises, I'm so not looking forward to that. On sunday better start doing the LPC camp booklet.