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According to its reducibility, $\\psi_\\mu\\longrightarrow \\left[(1/2,1)\\oplus (1,1/2)\\right]\\oplus [(1/2,0)\\oplus (0,1/2)]$ this representation space contains two spin-1/2 sectors, the first one transforming as a genuine Dirac-spinor, $(1/2,0)\\oplus (0,1/2)$, and the second as the companion to spin-3/2 in $(1/2,1)\\oplus (1,1/2)$. 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