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M. N. Abdulrahim and M. Al-Tahan, “Complex Spe- cializa-tions of Krammer’s Representation of the Braid Group, B3,” Journal of Mathematics and Statistics, Vol. 4, No. 4, 2008, pp. 213-216. doi:10.3844/jmssp.2008.213.216

has been cited by the following article:

• TITLE: Tensor Product of Krammer’s Representations of the P3

  AUTHORS: Hassan A. Tarraf, Mohammad N. Abdulrahim

  KEYWORDS: Braid Group; Pure Braid Group; Magnus Representation; Krammer’s Representation

  JOURNAL NAME: Advances in Pure Mathematics, Vol.2 No.3, May 29, 2012

  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 .