Topics in Varieties of Group Representations (London Mathematical Society Lecture Note Series, Series Number 163)

The present book is devoted to one of the newest branches of variety theory: varieties of group representations. In addition to its intrinsic value, it has numerous connections with varieties of groups, rings and Lie algebras, polynomial identities, group rings, etc., and provides results, methods and ideas that are of interest to a broad algebraic audience. The book presents a clear and detailed exposition of several central topics in the field, leading from initial definitions and problems to the most current advances and developments. Among the topics treated are stable and unipotent varieties, locally finite-dimensional varieties, the finite basis problem, connections with varieties of groups and associative algebras and their applications. This Book Is Devoted To The Theory Of Group Representations, A Young And Promising Area Of Modern Algebra. It Provides A Detailed Exposition Of Several Central Topics In The Field, Leading To The Most Current Advances And Developments. Much Of The Included Material Has Never Been Available In Book Form Before. It Is Intended For A Broad Audience Of Researchers And Graduate Students, Working In Abstract Algebra And Its Many Applications. Samuel M. Vovsi. Includes Bibliographical References (p. 189-196) And Index.