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

Irreducibility of the three dimensional Albeverio-Rabanovich representation of the pure braid group $P_3$