Shaplin, Richard Martin III2020-07-092020-07-092020-07-08vt_gsexam:26025http://hdl.handle.net/10919/99307In Chapter 1 we introduce the Yokonuma-Hecke Algebra and a Yokonuma-Hecke Algebra-module. In Chapter 2 we determine that the possible eigenvalues of particular elements in the Yokonuma-Hecke Algebra acting on the module. In Chapter 3 we find determine module subspaces and eigenspaces that are isomorphic. In Chapter 4 we determine the structure of the q-eigenspace. In Chapter 5 we determine the spherical elements of the module.ETDIn CopyrightAffine Yokonuma–Hecke AlgebrasSpherical ElementsThesis