TITLE: Could you recommend some books on Lie algebra？
QUESTION [14 upvotes]: I am a pure maths student, and  want to go straight ahead, so I  decide to study Lie algebra on my own, and try my best to understand it from various points of view：differential equation, Lie group, representation theory,..
Could you provide some advice and recommend some books? Thanks a lot

REPLY [3 votes]: These free notes by Alistair Savage are an excellent introduction (based on Stillwell's and Hall's books). A bit more advanced, yet inclusive of Stillwell.
http://alistairsavage.ca/mat4144/notes/MAT4144-5158-LieGroups.pdf