On Normalized Integral Table Algebras (Fusion Rings)

Generated by a Faithful Non-real Element of Degree 3

Nonfiction, Science & Nature, Mathematics, Combinatorics, Algebra
Cover of the book On Normalized Integral Table Algebras (Fusion Rings) by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk, Springer London
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk ISBN: 9780857298508
Publisher: Springer London Publication: July 20, 2011
Imprint: Springer Language: English
Author: Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
ISBN: 9780857298508
Publisher: Springer London
Publication: July 20, 2011
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer London

Cover of the book Minimalism by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book Pediatric Thoracic Surgery by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book Two-Dimensional Change Detection Methods by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book Urolithiasis by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book Acute Coronary Syndromes in Clinical Practice by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book Innovation Design by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book Symmetry and Pattern in Projective Geometry by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book Calculus for Computer Graphics by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book Guide to Modeling and Simulation of Systems of Systems by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book Medical Management of HIV and AIDS by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book Dementia in Clinical Practice: A Neurological Perspective by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book Web-based Support Systems by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book A-Z of Neurological Practice by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book Translational Research Methods for Diabetes, Obesity and Cardiometabolic Drug Development by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
Cover of the book Dermatology in Clinical Practice by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy