An overview of Wada’s representations

Madline A. Al-Tahan, Mohammad N. Abdulrahim

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.


Full Text: PDF

How to Cite this Article:

Madline A. Al-Tahan, Mohammad N. Abdulrahim, An overview of Wada’s representations, Journal of Mathematical and Computational Science, Vol 3, No 6 (2013), 1430-1443

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.

J. Math. Comput. Sci.

ISSN: 1927-5307

Editorial Office: jmcs@scik.org

 

Copyright ©2019 JMCS