Wigner-Eckart Theorem: Rigorous Math Treatment

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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.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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