Topics in varieties of group representations / Samuel M. Vovsi
1991, 1st edition. Cambridge : Cambridge University Press. Fine paperback copy. Particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-cornered. Item #385187
ISBN: 0521424100
Physical description; 200 pp. Notes; London mathematical Society lecture note series, No 163. Includes bibliographical references and index. 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. Subjects; Representations of groups. Group theory. Finite groups. Varieties (Universal algebra). Mathematics.
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