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Topics in Varieties of Group Representations (London Mathematical Society Lecture Note Series, Series Number 163) - Softcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
Book Description
Devoted to the theory of group representations, a promising area of modern algebra, this textbook provides a detailed exposition of several central topics in the field, leading to the most current advances and developments.
Review
"The book presents to non-Russian readers a theory that has been developed almost entirely in the former Soviet Union. It is clear and hardly suffers at all from the fact that English is not the author's first language....The fact is that the book is well organized and easy to understand." Peter M. Neumann, Bulletin of the American Mathematical Society
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1992
- ISBN 10 0521424100
- ISBN 13 9780521424103
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages216
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LMS: 163 Topics in Varieties Group (London Mathematical Society Lecture Note Series)
Published by
Cambridge University Press, 1992
ISBN 10: 0521424100
ISBN 13: 9780521424103
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Topics in Varieties of Group Representations (London Mathematical Society Lecture Note Series)
Published by
Cambridge University Press, Cambridge, 1991
ISBN 10: 0521424100
ISBN 13: 9780521424103
Used
Paperback
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Topics in varieties of group representations / Samuel M. Vovsi
Published by
Cambridge : Cambridge University Press, 1991
ISBN 10: 0521424100
ISBN 13: 9780521424103
Used
Softcover
First Edition
Seller: MW Books, New York, NY, U.S.A.
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1st edition. Fine paperback copy. Particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-cornered. 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 linearizations4.2. 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. 1 Kg. Seller Inventory # 385187
Quantity: 1 available
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Topics in varieties of group representations / Samuel M. Vovsi
Published by
Cambridge : Cambridge University Press, 1991
ISBN 10: 0521424100
ISBN 13: 9780521424103
Used
Softcover
First Edition
Seller: MW Books, New York, NY, U.S.A.
Seller rating 5 out of 5 stars
1st edition. Near fine paperback copy; edges very slightly dust-dulled. Remains particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. Physical description; 200 pp. Contents; 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. Finite groups. Algebra. Mathematics. 1 Kg. Seller Inventory # 388561
Quantity: 1 available
Seller Image
Topics in varieties of group representations / Samuel M. Vovsi
Published by
Cambridge : Cambridge University Press, 1991
ISBN 10: 0521424100
ISBN 13: 9780521424103
Used
Softcover
First Edition
Seller: MW Books Ltd., Galway, Ireland
Seller rating 5 out of 5 stars
1st edition. Fine paperback copy. Particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-cornered. 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 linearizations4.2. 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. 1 Kg. Seller Inventory # 385187
Quantity: 1 available
Seller Image
Topics in varieties of group representations / Samuel M. Vovsi
Published by
Cambridge : Cambridge University Press, 1991
ISBN 10: 0521424100
ISBN 13: 9780521424103
Used
Softcover
First Edition
Seller: MW Books Ltd., Galway, Ireland
Seller rating 5 out of 5 stars
1st edition. Near fine paperback copy; edges very slightly dust-dulled. Remains particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. Physical description; 200 pp. Contents; 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. Finite groups. Algebra. Mathematics. 1 Kg. Seller Inventory # 388561
Quantity: 1 available
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Topics in Varieties of Group Representations (London Mathematical Society Lecture Note Series, Series Number 163)
Published by
Cambridge University Press, 1992
ISBN 10: 0521424100
ISBN 13: 9780521424103
New
Softcover
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Topics in Varieties of Group Representations (London Mathematical Society Lecture Note Series, Series Number 163)
Published by
Cambridge University Press, 1992
ISBN 10: 0521424100
ISBN 13: 9780521424103
New
Softcover
Seller: California Books, Miami, FL, U.S.A.
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LMS: 163 Topics in Varieties Group (London Mathematical Society Lecture Note Series)
Published by
Cambridge University Press, 1991
ISBN 10: 0521424100
ISBN 13: 9780521424103
Used
Paperback
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Topics in Varieties of Group Representations (Paperback)
Published by
Cambridge University Press, Cambridge, 1992
ISBN 10: 0521424100
ISBN 13: 9780521424103
New
Paperback
Seller: Grand Eagle Retail, Fairfield, OH, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521424103
Quantity: 1 available