On Normalized Integral Table Algebras (Fusion Rings)

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 t...

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Detalles Bibliográficos
Autores principales: Arad, Zvi, Bangteng, Xu, Chen, Guiyun, Cohen, Effi, Hussam, Arisha Haj Ihia, Muzychuk, Mikhail
Lenguaje:eng
Publicado: Springer 2011
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-0-85729-850-8
http://cds.cern.ch/record/1414232
Descripción
Sumario: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

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