Recent content by sshaep

Clebsch-Gordan Theorem?? symmetric spinor tensors are IRR of SU(2), i.e., T_{\undergroup{\alpha_1\cdots\alpha_r}} The Clebsch-Gordan theorem says, {\{j_1\}}\otimes{\{j_2\}}={\{j_1+j_2\}}\oplus{\{j_1+j_2-1\}}\oplus\cdots\oplus{\{|j_1-j_2|\}}. Can I prove this theorem by symmetrizing the...

This means can I get the 2x2 representation of M\mu\nu from SL(2,C)? But how? What I know is \sigma_{\mu}A^{\mu} _{\phantom{\mu}\nu}}=L\sigma_{\nu}L^{\dagger}

I know the representations of Lorentz generators M\mu\nu as 4X4 matrices. This matrices satisfy the commutation relation(Lie algebra of O(3,1)) However I think these 4X4 matrix representations are not unique. Is there any other representations satisfying the commutation relation? 2X2...