03292nam a22005535i 4500 978-0-85729-850-8 DE-He213 20260521092043.0 cr nn 008mamaa 110718s2011 xxk| s |||| 0|eng d 9780857298508 99780857298508 10.1007/978-0-85729-850-8 doi 512 23 Arad, Zvi. author. 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. London : Springer London : Imprint: Springer, 2011. X, 274 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Algebra and Applications, 1572-5553 ; 16 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. 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. MATHEMATICS. ALGEBRA. GROUP THEORY. COMBINATORICS. MATHEMATICS. ALGEBRA. COMMUTATIVE RINGS AND ALGEBRAS. GROUP THEORY AND GENERALIZATIONS. COMBINATORICS. GRAPH THEORY. Bangteng, Xu. author. Chen, Guiyun. author. Cohen, Effi. author. Haj Ihia Hussam, Arisha. author. Muzychuk, Mikhail. author. SpringerLink (Online service) Springer eBooks Printed edition: 9780857298492 Algebra and Applications, 1572-5553 ; 16 http://dx.doi.org/10.1007/978-0-85729-850-8 Ver el texto completo en las instalaciones del CICY ZDB-2-SMA ddc ER 36083 36083 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 512 2025-10-06 08:44:46 2025-10-06 ER