Title Topics in varieties of group representations / Samuel M. Vovsi

Published Cambridge ; New York : Cambridge University Press, 1991

Click on the following:
EBSCO eBooks

Copies

Description 1 online resource (xiv, 200 pages) Series London Mathematical Society lecture note series ; 163 London Mathematical Society lecture note series ; 163. Contents Cover; Haft-title; Title; Copyright; Dedication; Contents; Preface; Chapter 0. PRELIMINARIES; 0.1. Representations; 0.2. Identities and varieties; 0.3. Certain properties of varieties; 0.4. Changing the ground ring; 0.5. The free group algebra; Chapter 1. STABLE VARIETIES AND HOMOGENEITY; 1.1. Finiteness properties; 1.2. Homogeneous varieties; 1.3. Connections with varieties of associative algebras; 1.4. Stable varieties of class 4; 1.5. A stable nonhomogeneous variety; 1.6. Stability of unipotent varieties; Chapter 2. LOCALLY FINITE-DIMENSIONAL VARIETIES; 2.1. Basic notions and properties 2.2. Characterization of locally finite and locally finite-dimensional varieties2.3. The order functions; 2.4. Critical representations; 2.5. Critical representations and irreducibility; Chapter 3. IDENTITIES OF FINITE AND STABLE-BY-FINITE REPRESENTATIONS; 3.1. Ordinary representations of finite groups; 3.2. Several auxiliary results; 3.3. Bounds for the orders of critical representations; 3.4. Identities of stable-by-finite representations; 3.5. Corollaries and related results; Chapter 4. FURTHER TOPICS; 4.1. Multilinear identities and partial linearizations 4.2. Identities of representations of abelian groups and related results4.3. Multiplication of pure varieties; 4.4. Intersection of pure varieties; 4.5. Some applications: an overview; References; Index Summary 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 Bibliography Includes bibliographical references and index Notes Print version record Subject Representations of groups. MATHEMATICS -- Group Theory. Representations of groups Gruppentheorie Darstellung Mathematik Algebraische Mannigfaltigkeit Darstellungstheorie Form Electronic book ISBN 9781107361799 1107361796 9780511525964 0511525966 9780521424103 0521424100

  Permalink