Irreducibility of a specialization of the three dimensional Albeverio-Rabanovich representation of the pure braid group P3

Abstract

We consider the Albeverio-Rabanovich linear representation π of the braid group B3. After specializing the indeterminates used in defining the representation to non-zero complex numbers, we prove that its restriction to the pure braid group P3 of dimension three is irreducible.

Keywords

• braid group
• pure braid group
• irreducible