Classification methods of primitive table algebras of dimension 4
Blau, Harvey I., 1942-
Ph.D. (Doctor of Philosophy)
Department of Mathematical Sciences
Algebra; Dimension theory (Algebra)
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.
Corley, Todd Alcott, "Classification methods for primitive table algebras of dimension 4" (2008). Graduate Research Theses & Dissertations. 1812.
Northern Illinois University
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