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.
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 |
Similar Items
-
On the Unitary Representations of the Braid Group <i>B</i><sub>6</sub>
by: Malak M. Dally, et al.
Published: (2019-11-01) -
On positive braids motivated by Rossler dynamical system
by: M. Anis, et al.
Published: (2015-10-01) -
Aspects of Braid group cryptography
by: Longrigg, Jonathan James
Published: (2008) -
Polyadic Braid Operators and Higher Braiding Gates
by: Steven Duplij, et al.
Published: (2021-08-01) -
The Root Extraction Problem for Generic Braids
by: María Cumplido, et al.
Published: (2019-10-01)