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

On Normalized Integral Table Algebras (Fusion Rings) Generated by a Faithful Non-real Element of Degree 3
Catalogue Information
Field name Details
Dewey Class 512
Title On Normalized Integral Table Algebras (Fusion Rings) (EB) : Generated by a Faithful Non-real Element of Degree 3 / by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk.
Author Arad, Zvi. , 1942-2018
Added Personal Name Bangteng, Xu
Chen, Guiyun
Cohen, Effi
Haj Ihia Hussam, Arisha
Muzychuk, Mikhail
Other name(s) SpringerLink (Online service)
Publication London : Springer London
, 2011.
Physical Details X, 274 pages, 1 illus. : online resource.
Series Algebra and Applications 1572-5553 ; ; 16
ISBN 9780857298508
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-0-85729-850-8
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