On the Matrices of Clebsch–Gordan Coefficients
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We consider the matrices of Clebsch–Gordan coefficients. It turns out that these matrices are convenient in order to state, prove, and use many facts of the theory of representations of the groups SO(3) and SU(2).
Keywordsrepresentations of SO(3) and SU(2) Clebsch–Gordan coefficient harmonic polynomial
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- 3.Shelepin L. A., “Calculus of Clebsch–Gordan coefficients and its physical applications,” Proc. (Trudy) Lebedev Phys. Inst., vol. 70, 1–114 (1975).Google Scholar
- 4.Godunov S. K. and Mikhaĭlova T. Yu., Representations of the Rotation Group and Spherical Functions [Russian], Nauchnaya Kniga, Novosibirsk (1998).Google Scholar
- 7.Gelfand I. M., Minlos R. A., and Shapiro Z. Ya., Representations of the Rotation Group and the Lorentz Group, and Their Applications [Russian], Fizmatgiz, Moscow (1958).Google Scholar
- 8.Mikhaĭlova T. Yu., Four Lectures on the Theory of Representations of Rotation Groups [Russian], Novosibirsk Univ., Novosibirsk (2010).Google Scholar