Nicht aus der Schweiz? Besuchen Sie lehmanns.de
On Normalized Integral Table Algebras (Fusion Rings) - Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam

On Normalized Integral Table Algebras (Fusion Rings)

Generated by a Faithful Non-real Element of Degree 3
Buch | Softcover
274 Seiten
2013
Springer London Ltd (Verlag)
978-1-4471-2703-1 (ISBN)
CHF 74,85 inkl. MwSt
The theory of table algebras was introduced in 1991 by Z. Today, table algebra theory is a well-established branch of modern algebra with various applications, including the representation theory of finite groups, algebraic combinatorics and fusion rules algebras.
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 the representation theory of finite groups, algebraic combinatorics and fusion rules algebras.

This book presents the latest developments in this area. Its main goal is to give a classification of the Normalized Integral Table Algebras (Fusion Rings) generated by a faithful non-real element of degree 3. Divided into 4 parts, the first gives an outline of the classification approach, while remaining parts separately treat special cases that appear during classification. A particularly unique contribution to the field, can be found in part four, whereby a number of the algebras are linked to the polynomial irreducible representations of the group SL3(C).

This book will be of interest to research mathematicians and PhD students working in table algebras, group representation theory, algebraic combinatorics and integral fusion rule algebras.

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

Reihe/Serie Algebra and Applications ; 16
Zusatzinfo X, 274 p.
Verlagsort England
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 1-4471-2703-X / 144712703X
ISBN-13 978-1-4471-2703-1 / 9781447127031
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich