(adsbygoogle = window.adsbygoogle || []).push({}); Clebsch-Gordan Theorem??

symmetric spinor tensors are IRR of SU(2), i.e., [tex]T_{\undergroup{\alpha_1\cdots\alpha_r}}[/tex]

The Clebsch-Gordan theorem says,

[tex]{\{j_1\}}\otimes{\{j_2\}}={\{j_1+j_2\}}\oplus{\{j_1+j_2-1\}}\oplus\cdots\oplus{\{|j_1-j_2|\}}[/tex].

Can I prove this theorem by symmetrizing the tensor product,

[tex]T_{\alpha_1\cdots\alpha_{2j_1}}\otimes T_{\beta_1\cdots\beta_{2j_2}}[/tex]=(express sum of fully symmetric tensors) ??

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# Clebsch-Gordan Theorem?

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