Tensor Product of Krammer’s Representations of the P3 ()
Abstract
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 .
Share and Cite:
H. Tarraf and M. Abdulrahim, "Tensor Product of Krammer’s Representations of the P
3,"
Advances in Pure Mathematics, Vol. 2 No. 3, 2012, pp. 190-194. doi:
10.4236/apm.2012.23026.
Conflicts of Interest
The authors declare no conflicts of interest.
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