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Catalogue Information
Field name	Details
Dewey Class	512.5
Title	On Normalized Integral Table Algebras (Fusion Rings) ([Ebook]) : 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
Publication	, 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.Â Today, table algebra theory is a well-established branch of modern algebra with various applications, includingÂ the representation theory of finite groups, algebraic combinatorics and fusion rules algebras. This book presents the latest developments in this area.Â Its main goal is toÂ 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
Links to Related Works	Subject References: Algebra . Combinatorics . Commutative rings . Commutative Rings and Algebras . Graph Theory . Group theory . Group Theory and Generalizations . Rings (Algebra) . Authors: Arad, Zvi. 1942-2018 . author . Bangteng, Xu . Chen, Guiyun . Cohen, Effi . Haj Ihia Hussam, Arisha . Muzychuk, Mikhail . Corporate Authors: SpringerLink (Online service) . Series: Algebra and Applications . Classification: 512.5 . 512.5 (DDC 23) .

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

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