Publications

We consider Tuba's representation of the pure braid group, P_{3} , given by the map \phi :P_{3}\longrightarrow GL(4,F), where F is an algebraically closed field. After, specializing the indeterminates usedin defining the representation to non- zero complex numbers, we find sufficient conditions that guarantee the irreducibility of Tuba's representation of the pure braid group $P_{3}$ with dimension $d=4$. Under further restriction for the complex specialization of the indeterminates, we get a necessary and sufficient condition for the irreducibility of \phi .