I'm looking for a solid book on Lie groups and Lie algebras, there is too many choices out there. What is a classic text, if there is one?
Tough question.I'm looking for a solid book on Lie groups and Lie algebras, there is too many choices out there. What is a classic text, if there is one?
"[URL [Broken]Just pure maths, grad or undergrad, but rigor not blown out of proportions. My end goal is to understand E8, and see what's it all about.
Yes, I'm familiar with this paper, it's the main reason why I want to learn all the Lie stuff.I would also like to learn about Lie Algebra for the same reason as waht. E8 seems very interesting and Lie Algebra just seems so fundamental for quantum field theory. A great tool to have, but how should one learn it? Waht, have you checked out Lisi's paper, "An Exceptionally Simple Theory of Everything?" I am having trouble understanding much of anything from it, and I think learning Lie Algebra would be a great start.
Thanks George, that's an excellent book on Lie Algebra, already learned something at first glance."[URL [Broken]
Semi-Simple Lie Algebras and their Representations[/URL] by Robert Cahn is a free book (wasn't free when I picked it up!) on Lie algebras that has a chapter on the exceptional algebras. This book was written for physicists, but doesn't refer to any physics applications.