Tensor Product of Krammer’s Representations of the P3


We consider the complex specializations of Krammer’s representation of the pure braid group on three strings, namely K(q,t), where q and t are non-zero complex numbers. We then specialize the indeterminate t by one and replace by for simplicity. Then we present our main theorem that gives us sufficient conditions that guarantee the irreducibility of the tensor product of two irreducible complex specializations of Krammer’s repre- sentations .

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H. Tarraf and M. Abdulrahim, "Tensor Product of Krammer’s Representations of the P3," Advances in Pure Mathematics, Vol. 2 No. 3, 2012, pp. 190-194. doi: 10.4236/apm.2012.23026.

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The authors declare no conflicts of interest.


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