An overview of Wada’s representations
Abstract
M. Wada has constructed several linear representations of the braid group. An overview of three interesting types of these representations is given in our work. As an extension to the results obtained about Wada’s representations of types 1 and 2, we prove that type 3 is of Burau type and that all the three types of Wada’s representations are equivalent. We determine the hecke algebras that these representations arise from.
Copyright © 2013 Madline A. Al-Tahan, Mohammad N. Abdulrahim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. A. Al-Tahan, M. N. Abdulrahim, An overview of Wada’s representations, J. Math. Comput. Sci. 3 (2013), 1430–1443.
BibTeX
@article{Al-Tahan2013,
author = {Al-Tahan, Madline A. and Abdulrahim, Mohammad N.},
title = {An overview of Wada’s representations},
journal = {J. Math. Comput. Sci.},
volume = {3},
year = {2013},
pages = {1430--1443},
doi = {}
}