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Autor Arad, Zvi. author.

Título On Normalized Integral Table Algebras (Fusion Rings) [electronic resource] : 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.

Publicación London : Springer London : Imprint: Springer, 2011.
Descripción física X, 274 p. online resource.
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Colección Algebra and Applications, 1572-5553 ; 16
Algebra and Applications, 1572-5553 ; 16
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Springer eBooks. Mathematics and Statistics
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Contiene: 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.
Resumen: 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.
Materia Mathematics.
Commutative algebra.
Commutative rings.
Group theory.
Graph theory.
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Commutative Rings and Algebras.
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Group Theory and Generalizations.
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Graph Theory.
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Autor secundario Bangteng, Xu., author.
Chen, Guiyun., author.
Cohen, Effi., author.
Haj Ihia Hussam, Arisha., author.
Muzychuk, Mikhail., author.
SpringerLink (Online service)
En Springer eBooks
OTRO SOPORTE Printed edition: 9780857298492
ISBN 9780857298508 978-0-85729-850-8
ISBN/ISSN 10.1007/978-0-85729-850-8 doi