Lectures on block theory /:
Block theory is a part of the theory of modular representation of finite groups and deals with the algebraic structure of blocks. In this volume Burkhard Külshammer starts with the classical structure theory of finite dimensional algebras, and leads up to Puigs main result on the structure of the so...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
1991.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
161. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Block theory is a part of the theory of modular representation of finite groups and deals with the algebraic structure of blocks. In this volume Burkhard Külshammer starts with the classical structure theory of finite dimensional algebras, and leads up to Puigs main result on the structure of the so called nilpotent blocks, which he discusses in the final chapter. All the proofs in the text are given clearly and in full detail, and suggestions for further reading are also included. For researchers and graduate students interested in group theory or representation theory, this book will form an excellent self contained introduction to the theory of blocks. |
| Beschreibung: | 1 online resource (viii, 105 pages) |
| Bibliographie: | Includes bibliographical references (pages 94-96) and index. |
| ISBN: | 9781107361690 1107361699 |
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| 520 | |a Block theory is a part of the theory of modular representation of finite groups and deals with the algebraic structure of blocks. In this volume Burkhard Külshammer starts with the classical structure theory of finite dimensional algebras, and leads up to Puigs main result on the structure of the so called nilpotent blocks, which he discusses in the final chapter. All the proofs in the text are given clearly and in full detail, and suggestions for further reading are also included. For researchers and graduate students interested in group theory or representation theory, this book will form an excellent self contained introduction to the theory of blocks. | ||
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| contents | Cover; Title; Copyright; Contents; Preface; 1. Foundations; 2. Idempotents; 3. Simple and Semisimple Algebras; 4. Points and Maximal Ideals; 5. Miscellaneous Results on Algebras; 6. Modules; 7. Groups Acting on Algebras; 8. Pointed Groups; 9. Sylow Theorems; 10. Groups in Algebras; 11. Group Algebras; 12. Blocks of Group Algebras; 13. Nilpotent Blocks; 14. The Source Algebra of a Nilpotent Block; 15. Puig's Theorem; Bibliography; Subject Index; List of Symbols |
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| indexdate | 2024-11-27T13:25:17Z |
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| spelling | Külshammer, Burkhard. Lectures on block theory / Burkhard Külshammer. Cambridge ; New York : Cambridge University Press, 1991. 1 online resource (viii, 105 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 161 Includes bibliographical references (pages 94-96) and index. Print version record. Block theory is a part of the theory of modular representation of finite groups and deals with the algebraic structure of blocks. In this volume Burkhard Külshammer starts with the classical structure theory of finite dimensional algebras, and leads up to Puigs main result on the structure of the so called nilpotent blocks, which he discusses in the final chapter. All the proofs in the text are given clearly and in full detail, and suggestions for further reading are also included. For researchers and graduate students interested in group theory or representation theory, this book will form an excellent self contained introduction to the theory of blocks. Cover; Title; Copyright; Contents; Preface; 1. Foundations; 2. Idempotents; 3. Simple and Semisimple Algebras; 4. Points and Maximal Ideals; 5. Miscellaneous Results on Algebras; 6. Modules; 7. Groups Acting on Algebras; 8. Pointed Groups; 9. Sylow Theorems; 10. Groups in Algebras; 11. Group Algebras; 12. Blocks of Group Algebras; 13. Nilpotent Blocks; 14. The Source Algebra of a Nilpotent Block; 15. Puig's Theorem; Bibliography; Subject Index; List of Symbols Blocks (Group theory) http://id.loc.gov/authorities/subjects/sh91005564 Blocs (Théorie des groupes) MATHEMATICS Group Theory. bisacsh Blocks (Group theory) fast Block Mathematik gnd http://d-nb.info/gnd/4146017-0 Blocksystem Mathematik gnd http://d-nb.info/gnd/4146045-5 Groupes finis. ram Groupes nilpotents. ram Print version: Külshammer, Burkhard. Lectures on block theory. Cambridge ; New York : Cambridge University Press, 1991 0521405653 (DLC) 91191750 (OCoLC)23860453 London Mathematical Society lecture note series ; 161. 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=552403 Volltext |
| spellingShingle | Külshammer, Burkhard Lectures on block theory / London Mathematical Society lecture note series ; Cover; Title; Copyright; Contents; Preface; 1. Foundations; 2. Idempotents; 3. Simple and Semisimple Algebras; 4. Points and Maximal Ideals; 5. Miscellaneous Results on Algebras; 6. Modules; 7. Groups Acting on Algebras; 8. Pointed Groups; 9. Sylow Theorems; 10. Groups in Algebras; 11. Group Algebras; 12. Blocks of Group Algebras; 13. Nilpotent Blocks; 14. The Source Algebra of a Nilpotent Block; 15. Puig's Theorem; Bibliography; Subject Index; List of Symbols Blocks (Group theory) http://id.loc.gov/authorities/subjects/sh91005564 Blocs (Théorie des groupes) MATHEMATICS Group Theory. bisacsh Blocks (Group theory) fast Block Mathematik gnd http://d-nb.info/gnd/4146017-0 Blocksystem Mathematik gnd http://d-nb.info/gnd/4146045-5 Groupes finis. ram Groupes nilpotents. ram |
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| title | Lectures on block theory / |
| title_auth | Lectures on block theory / |
| title_exact_search | Lectures on block theory / |
| title_full | Lectures on block theory / Burkhard Külshammer. |
| title_fullStr | Lectures on block theory / Burkhard Külshammer. |
| title_full_unstemmed | Lectures on block theory / Burkhard Külshammer. |
| title_short | Lectures on block theory / |
| title_sort | lectures on block theory |
| topic | Blocks (Group theory) http://id.loc.gov/authorities/subjects/sh91005564 Blocs (Théorie des groupes) MATHEMATICS Group Theory. bisacsh Blocks (Group theory) fast Block Mathematik gnd http://d-nb.info/gnd/4146017-0 Blocksystem Mathematik gnd http://d-nb.info/gnd/4146045-5 Groupes finis. ram Groupes nilpotents. ram |
| topic_facet | Blocks (Group theory) Blocs (Théorie des groupes) MATHEMATICS Group Theory. Block Mathematik Blocksystem Mathematik Groupes finis. Groupes nilpotents. |
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