Topics in varieties of group representations /:
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 f...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
1991.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
163. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xiv, 200 pages). |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781107361799 1107361796 9780511525964 0511525966 9780521424103 0521424100 |
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| 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 |
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| discipline | Mathematik |
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| series2 | London Mathematical Society lecture note series ; |
| spelling | Vovsi, S. M. (Samuil Mikhaĭlovich) http://id.loc.gov/authorities/names/n82151958 Topics in varieties of group representations / Samuel M. Vovsi. Cambridge ; New York : Cambridge University Press, 1991. 1 online resource (xiv, 200 pages). text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 163 Includes bibliographical references and index. Print version record. 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. 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 Representations of groups. http://id.loc.gov/authorities/subjects/sh85112944 Représentations de groupes. MATHEMATICS Group Theory. bisacsh Representations of groups fast Gruppentheorie gnd Darstellung Mathematik gnd http://d-nb.info/gnd/4128289-9 Algebraische Mannigfaltigkeit gnd http://d-nb.info/gnd/4128509-8 Darstellungstheorie gnd http://d-nb.info/gnd/4148816-7 Electronic books. Print version: Vovsi, S.M. (Samuil Mikhaĭlovich). Topics in varieties of group representations. Cambridge ; New York : Cambridge University Press, 1991 9780511525964 (DLC) 92159767 London Mathematical Society lecture note series ; 163. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552404 Volltext |
| spellingShingle | Vovsi, S. M. (Samuil Mikhaĭlovich) Topics in varieties of group representations / London Mathematical Society lecture note series ; 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 Representations of groups. http://id.loc.gov/authorities/subjects/sh85112944 Représentations de groupes. MATHEMATICS Group Theory. bisacsh Representations of groups fast Gruppentheorie gnd Darstellung Mathematik gnd http://d-nb.info/gnd/4128289-9 Algebraische Mannigfaltigkeit gnd http://d-nb.info/gnd/4128509-8 Darstellungstheorie gnd http://d-nb.info/gnd/4148816-7 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85112944 http://d-nb.info/gnd/4128289-9 http://d-nb.info/gnd/4128509-8 http://d-nb.info/gnd/4148816-7 |
| title | Topics in varieties of group representations / |
| title_auth | Topics in varieties of group representations / |
| title_exact_search | Topics in varieties of group representations / |
| title_full | Topics in varieties of group representations / Samuel M. Vovsi. |
| title_fullStr | Topics in varieties of group representations / Samuel M. Vovsi. |
| title_full_unstemmed | Topics in varieties of group representations / Samuel M. Vovsi. |
| title_short | Topics in varieties of group representations / |
| title_sort | topics in varieties of group representations |
| topic | Representations of groups. http://id.loc.gov/authorities/subjects/sh85112944 Représentations de groupes. MATHEMATICS Group Theory. bisacsh Representations of groups fast Gruppentheorie gnd Darstellung Mathematik gnd http://d-nb.info/gnd/4128289-9 Algebraische Mannigfaltigkeit gnd http://d-nb.info/gnd/4128509-8 Darstellungstheorie gnd http://d-nb.info/gnd/4148816-7 |
| topic_facet | Representations of groups. Représentations de groupes. MATHEMATICS Group Theory. Representations of groups Gruppentheorie Darstellung Mathematik Algebraische Mannigfaltigkeit Darstellungstheorie Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552404 |
| work_keys_str_mv | AT vovsism topicsinvarietiesofgrouprepresentations |