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We consider Krammer's representation of the pure braid group on three strings: P 3 → GL3, Zt ±1 , q ±1 , where t and q are indeterminates. As it was done in the case of the braid group, B 3 , we specialize the indeterminates t and q to nonzero complex numbers. Then we present our main theorem that gives us a necessary and sufficient condition that… (More)

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