MHB Deriving Structure Factors for Lie Algebras | Dan's Project

Thread starter topsquark
Start date Jul 27, 2015
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Factors Structure

Jul 27, 2015

topsquark

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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

Thread 'About the existence of Hamel basis for vector spaces'

It is well known that a vector space always admits an algebraic (Hamel) basis. This is a theorem that follows from Zorn's lemma based on the Axiom of Choice (AC). Now consider any specific instance of vector space. Since the AC axiom may or may not be included in the underlying set theory, might there be examples of vector spaces in which an Hamel basis actually doesn't exist ?

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