Mohammad N. Abdulrahim

Tuba’s Representation of the Pure Braid Group on Three Strands

Noura Y. Maanna & Mohammad N. Abdulrahim · Journal of Advances in Mathematics and Computer Science · 2014

We consider Tuba’s representation of the pure braid group, P3, defined by the map Ψ: P3 → GL(V ), where V is an algebraically closed field. We then specialize the indeterminates used in defining the representation to non- zero complex numbers. Our objective is to find necessary a...

Open access Research Article 10.9734/BJMCS/2014/8776

A New Six Dimensional Representation of the Braid Group on Three Strands and its Irreducibility and Unitarizability

Madline A. Al-Tahan & Mohammad N. Abdulrahim · Journal of Advances in Mathematics and Computer Science · 2013

We consider the braid group on three strands, B3and construct a complex valued representation of it with degree 6, namely,  First, we show that this representation is irreducible and not equivalent to either Burau or Krammer’s representations. Second, we prove that the representa...

Open access Research Article 10.9734/BJMCS/2013/3141