Introducing Yourself to Compact and Non-Compact Lie Algebras

[guillom]

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

 

[matt grime]

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

 

[M98Ranger]

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!