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    Полное описание

    On Normalized Integral Table Algebras (Fusion Rings) : generated by a Faithful Non-real Element of Degree 3 / by Zvi Arad, Xu Bangteng, Guiyun Chen [et al.]. - London : Springer, 2011. - on-line. - (Algebra and Applications, ISSN 1572-5553 ; vol. 16). - URL: http://dx.doi.org/10.1007/978-0-85729-850-8. - Загл. с экрана. - ISBN 978-0-85729-850-8. - Текст : электронный.
    Содержание:
    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.

    ГРНТИ УДК
    27.17.19512.55

    Рубрики:
    mathematics
    algebra
    commutative algebra
    commutative rings
    group theory
    combinatorics
    graph theory
    mathematics
    algebra
    commutative Rings and Algebras
    group Theory and Generalizations
    combinatorics
    graph Theory

    Аннотация: 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.
    Доп. точки доступа:
    Arad, Z.
    Bangteng, X.
    Chen, G.
    Cohen, E.
    Arisha Haj Ihia Hussam
    Muzychuk, M.

    http://dx.doi.org/10.1007/978-0-85729-850-8


    Держатели документа:
    Государственная публичная научно-техническая библиотека России : 123298, г. Москва, ул. 3-я Хорошевская, д. 17 (Шифр в БД-источнике (KATBW): -626373275)

    Шифр в сводном ЭК: bfaccbf12148dedae83207201a4cd9e6



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