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

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.

Bibliographic Details
Main Authors: Hasan A. Haidar, Mohammad N. Abdulrahim
Format: Article
Language:English
Published: Sapienza Università Editrice 2020-04-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2020(2)/155-162.pdf