Cantitate/Preț
Produs

On Normalized Integral Table Algebras (Fusion Rings): Generated by a Faithful Non-real Element of Degree 3: Algebra and Applications, cartea 16

Autor Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
en Limba Engleză Paperback – 27 noi 2013
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.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 36839 lei  38-44 zile
  SPRINGER LONDON – 27 noi 2013 36839 lei  38-44 zile
Hardback (1) 38695 lei  6-8 săpt.
  SPRINGER LONDON – 20 iul 2011 38695 lei  6-8 săpt.

Din seria Algebra and Applications

Preț: 36839 lei

Nou

Puncte Express: 553

Preț estimativ în valută:
7050 7323$ 5856£

Carte tipărită la comandă

Livrare economică 30 ianuarie-05 februarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781447127031
ISBN-10: 144712703X
Pagini: 284
Ilustrații: X, 274 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.41 kg
Ediția:2011
Editura: SPRINGER LONDON
Colecția Springer
Seria Algebra and Applications

Locul publicării:London, United Kingdom

Public țintă

Research

Cuprins

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

Recenzii

From the reviews:
“In the book under review the authors’ aim is to classify normalized integral table algebras generated by a faithful non-real element of degree 3. To do this several cases appear and the authors examine each case carefully to prove the existence of the table algebra in question. … is well organized and will be beneficial to many researchers of finite group theory.” (Mohammad-Reza Darafsheh, Mathematical Reviews, Issue 2012 f)

Textul de pe ultima copertă

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.

Caracteristici

Offers current results through well-established methodology. Generalizes the finite linear groups of degree 3, yet remains broad in scope. Written by the world's leading expert in this area. Includes supplementary material: sn.pub/extras