Abstract
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 nonzero complex numbers. Our objective is to find necessary and sufficient conditions that guarantee the irreducibility of Tuba’s representations of the pure braid group P3 with dimensions d = 2 and d = 3.
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More From: British Journal of Mathematics & Computer Science
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