On Normalized Integral Table Algebras (Fusion Rings): Generated by a Faithful Non-Real Element of Degree 3 - Couverture rigide

Livre 16 sur 29: Algebra and Applications

Arad, Zvi; Bangteng, Xu; Chen, Guiyun; Cohen, Effi; Haj Ihia Hussam, Arisha; Muzychuk, Mikhail

 
9780857298492: On Normalized Integral Table Algebras (Fusion Rings): Generated by a Faithful Non-Real Element of Degree 3
Couverture rigide
ISBN 10 : 0857298496 ISBN 13 : 9780857298492
Editeur : Springer London Ltd, 2011

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book offers a classification of the Normalized Integral Table Algebras (Fusion Rings) generated by a faithful non-real element of degree 3. It links a number of the algebras to the polynomial irreducible representations of the group SL3(C).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer London Ltd
Date d'édition
2011
Langue
anglais
ISBN 10 
0857298496
ISBN 13 
9780857298492
Reliure
Relié
Nombre de pages
284
Coordonnées du fabricant
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9781447127031: On Normalized Integral Table Algebras (Fusion Rings): Generated by a Faithful Non-real Element of Degree 3

Edition présentée

ISBN 10 :  144712703X ISBN 13 :  9781447127031
Editeur : Springer, 2013
Couverture souple