Deriving Structure Factors for Lie Algebras | Dan's Project

[topsquark]

I am in the final stages of the project I've been working on: Taking a Dynkin diagram and deriving the structure factors for the Lie algebra it represents. Yay me!

However. I am confident in my work but it would still be really nice to be able to check them. Does anyone know where to find a list of structure factors for the Lie algebras a, b, c, and d?

Thanks!

-Dan

 

[jvicens]

Hello Dan,

Congratulations on reaching the final stages of your project! It sounds like you have put a lot of hard work and dedication into deriving the structure factors for the Lie algebra represented by a Dynkin diagram.

As for your question about finding a list of structure factors for the Lie algebras a, b, c, and d, I would recommend checking out the publications of mathematician and physicist Dr. Nathan Jacobson. He is known for his work on Lie algebras and has published several books and articles on the subject. You may also want to look into the works of Dr. Jacques Tits and Dr. Alexander Kac, who are also experts in the field of Lie algebras.

Additionally, many universities and research institutions have online databases or libraries that may have resources on Lie algebras and their structure factors. I would suggest reaching out to your colleagues or professors for recommendations on where to find this information.

Best of luck with your project!