Alt Title

Classification methods of primitive table algebras of dimension 4

Publication Date

2008

Document Type

Dissertation/Thesis

First Advisor

Blau, Harvey I., 1942-

Degree Name

Ph.D. (Doctor of Philosophy)

Legacy Department

Department of Mathematical Sciences

LCSH

Algebra; Dimension theory (Algebra)

Abstract

Table algebras and C-algebras are algebras over the complex numbers with a distinguished basis that satisfies certain axioms. In particular, the structure constants are real numbers. Classification theorems are proved for various types of 4-dimensional C-algebras and table algebras. These include all standard, integral primitive P-polynomial C-algebras, all primitive P-polynomial table algebras, and all primitive table algebras with nonreal elements. These classifications will have combinatorial applications to association schemes.

Comments

Includes bibliographical references (page 60)

Extent

94 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

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