Spherical Elements in the Affine Yokonuma-Hecke Algebra
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Date
2020-07-08
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Virginia Tech
Abstract
In 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.
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Keywords
Affine Yokonuma–Hecke Algebras, Spherical Elements