Spherical Elements in the Affine Yokonuma-Hecke Algebra

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.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2020

Author dc:creator

• Shaplin, Richard Martin III

Chair dc:contributor.committeechair

• Orr, Daniel D.

Committee members dc:contributor.committeemember

• Linnell, Peter A.
• Shimozono, Mark M.

• Affine Yokonuma–Hecke Algebras
• Spherical Elements

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

vt_gsexam:26025

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/99307