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.