Spherical Elements in the Affine Yokonuma-Hecke Algebra

TR Number

Date

2020-07-08

Journal Title

Journal ISSN

Volume Title

Publisher

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.

Description

Keywords

Affine Yokonuma–Hecke Algebras, Spherical Elements

Citation

Collections