Low-Dimensional Reality-Based Algebras

<p>In this paper we introduce the definition of a reality-based algebra (RBA) as well as a subclass of reality-based algebras, table algebras. Using sesquilinear forms, we prove that a reality-based algebra is semisimple. We look at a specific reality-based algebra of dimension 5 and provide formulas for the structure constants of this algebra. We determine by looking at these structure constants and setting conditions on specific structural components when this particular reality-based algebra is a table algebra. In fact, this will be a noncommutative table algebra of dimension 5. </p>

Name thesis:degree_name

Master of Science (MS)

Level thesis:degree_level

Master's

Discipline thesis:degree_discipline

Mathematics and Statistics

Grantor dc:publisher

Eastern Kentucky University

Year dc:date.available

2016

Author dc:creator

• Barber, Rachel Victoria

• adjacency
• algebra
• based
• reality
• sesquilinear
• table

Statement dc:rights

• Copyright 2016 Rachel Victoria Barber

Repository record dc:identifier

https://encompass.eku.edu/etd/336

OAI identifier oai:identifier

oai:encompass.eku.edu:etd-1334