00000cmm a22000004a 4500 UP-99796217611212454 Buklod 20230215085534.0 m go j cr |n |||auu|a 140424s xx d u 9780857298508 (eBook) 085729850X (eBook) (iLib)UPD-00215704226 DLC DML eng DMLUC QA 251.3 O5 2011eb On normalized integral table algebras (fusion rings) generated by a faithful non-real element of degree 3 [electronic resource] Zvi Arad ... [et al.]. London Springer 2011. 1 online resource (x, 274p.) ill. Algebras and applications 16. 1. Introduction - 2. Splitting of the main problem into four sub-cases - 3. A proof of a non-existence of sub-case (2) - 4. Preliminary classification of sub-case (3) - 5. Finishing the proofs of the main results IP-based subscription, access limited to within on campus computer network. Access via Electronic Resources of the UPD University Library Website. 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. Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Commutative algebra. Group rings. Electronic books. Arad, Z. (Zvi) 1942-. SpringerLink (Online service). Electronic Resource Available for University of the Philippines Diliman via SpringerLink. Click here to access http://link.springer.com/book/10.1007/978-0-85729-850-8 FO Monograph UPD DMLR Electronic Resource