Irreducibility of the three dimensional Albeverio-Rabanovich representation of the pure braid group $P_3$
We consider Albeverio- Rabanovich linear representation $π$ of the braid group $B_3$. After specializing the indeterminates used in defining the representation to non-zero complex numbers, we prove that the restriction of $π$ to the pure braid group $P_3$ of dimension three is irreducible.
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