| 書目名稱 | On Normalized Integral Table Algebras (Fusion Rings) | | 副標(biāo)題 | Generated by a Faith | | 編輯 | Zvi Arad,Xu Bangteng,Mikhail Muzychuk | | 視頻video | http://file.papertrans.cn/702/701040/701040.mp4 | | 概述 | 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 | | 叢書名稱 | Algebra and Applications | | 圖書封面 |  | | 描述 | 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, includingthe representation theory of finite groups, algebraic combinatorics and fusion rules algebras. This book presents the latest developments in this area.Its main goal is togive 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. | | 出版日期 | Book 2011 | | 關(guān)鍵詞 | fusion rings; group representation theory; integral fusion rules algebras; table algebras; combinatorics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-85729-850-8 | | isbn_softcover | 978-1-4471-2703-1 | | isbn_ebook | 978-0-85729-850-8Series ISSN 1572-5553 Series E-ISSN 2192-2950 | | issn_series | 1572-5553 | | copyright | Springer-Verlag London Limited 2011 |
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