Introducing Yourself to Compact and Non-Compact Lie Algebras

Hi
I'm looking for a guide to introduce muyself in the study of compact and non compact Lie algebras. Please take a minute to signal me some bibliography al the respect.
Thank very much
Guillom

Carter Seagal MacDonald's book whose name escapes me is very good. As is Fulton and Harris Representation Theory.

Hi Guillom,

Welcome to the world of Lie algebras! It's a fascinating and complex subject, but don't worry, I'll try my best to give you some resources to get started.

Firstly, for a general introduction to Lie algebras, I recommend the book "Lie Algebras in Particle Physics" by Howard Georgi. It covers the basics of Lie algebras and their applications in physics.

For a more specific focus on compact and non-compact Lie algebras, I suggest "Lie Groups, Lie Algebras, and Representations" by Brian Hall. This book provides a thorough treatment of both types of Lie algebras and their representations.

Another great resource is the book "Lie Algebras, Part I" by Jacobson. It covers a wide range of topics in Lie algebras, including both compact and non-compact cases.

If you prefer online resources, I recommend checking out the lectures by Professor Frederic Schuller on YouTube. He has a series of lectures on Lie algebras, including ones specifically on compact vs non-compact algebras.

I hope these recommendations help you get started in your study of compact and non-compact Lie algebras. Happy learning!