On Normalized Integral Table Algebras (Fusion Rings) Generated by a Faithful Non-real Element of Degree 3 /

• Main Authors: Arad, Zvi (Author), Bangteng, Xu (Author), Chen, Guiyun (Author), Cohen, Effi (Author), Haj Ihia Hussam, Arisha (Author), Muzychuk, Mikhail (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2011.
• Series: Algebra and Applications, 16
• Subjects: Mathematics.; Algebra.; Commutative algebra.; Commutative rings.; Group theory.; Combinatorics.; Graph theory.; Commutative Rings and Algebras.; Group Theory and Generalizations.; Graph Theory.

The theory of table algebras was introduced in 1991 by Z. Arad and H.Blau in order to treat, in a uniform way, products of conjugacy classes and irreducible characters of finite groups.  Today, table algebra theory is a well-established branch of modern algebra with various applications, including ...

Table of Contents:

• Introduction
• Splitting the Main Problem into Four Sub-cases
• A Proof of a Non-existence Sub-case (2)
• Preliminary Classification of Sub-case (2)
• Finishing the Proofs of the Main Results.