Self-study of Lie Algebras

[zplot]

Could anyone recommend a good book on Lie Algebras for self-study? I need to deeply understand Dynkin diagrams and classification of algebras.

Other question: does anybody know a book on problems of Lie Groups or Lie Algebras?

Thank you.

[kexue]

Check this out http://arxiv.org/abs/0711.3447

Though, it's a paper on E6 and its subgroups, it also gives a very nice summary/ introduction on Lie groups and algebras and their classification.

[George Jones]

I don't know which book is good for self-study, but the book Semi-Simple Lie Algebras and their Representations

http://phyweb.lbl.gov/~rncahn/www/liealgebras/book.html

is freely available. It wasn't freely available when I got it.

You might also look at Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists

http://www.amazon.com/Symmetries-Lie-Algebras-Representations-Mathematical/dp/0521541190/ref=sr_1_1?ie=UTF8&s=books&qid=1264588754&sr=1-1.

[zplot]

Thank you very much George and Kexue. I will buy / download recommended books and put myself onto Lie Algebras.

[Pinu7]

Shlomo Sternberg has one online: http://www.math.harvard.edu/~shlomo/