Wigner-Eckart Theorem: Rigorous Math Treatment

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The discussion focuses on seeking rigorous mathematical resources for the Wigner-Eckart theorem and angular momentum, particularly beyond traditional texts like Ballentine. The user expresses a desire for materials that approach the topic from the perspective of Lie algebras and groups, ideally starting from foundational concepts. A recommended resource mentioned is "Symmetries, Lie Algebras and Representations" by Fuchs & Schweigert, which is noted for its mathematical rigor. The conversation highlights the need for comprehensive and detailed treatments of these advanced topics. Overall, the thread emphasizes the importance of finding high-level mathematical discussions on the Wigner-Eckart theorem.
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I originally posted this in the Science Book and discussion forum but received no help. Am posting it here, hoping that I will.

I was looking for material that would go over the Wigner Eckart theorem and mathematics of Angular Momentum in more rigor than the traditional texts do (in specific Ballentine). I am not only looking for books, but any papers, articles which treat the following in a more rigorous mathematical footing would be appreciated.
 
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What kind of rigor are you looking for?
 
From the point of view of Lie algebras and groups. Hopefully, one that develops the material from scratch.
 
For a mathematical treatment of this kind of thing, I have found Fuchs & Schweigert "Symmetries, Lie Algebras and Representations" good.
 
Thanks henry. I'll look into it.
 

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