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Pseudo-reductive groups /
"Pseudo-reductive groups arise naturally in the study of general smooth linear algebraic groups over non-perfect fields and have many important applications. This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable for...
| Call Number: | Libro Electrónico |
|---|---|
| Main Authors: | , , |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Cambridge ; New York :
Cambridge University Press,
[2015]
|
| Edition: | Second edition. |
| Series: | New mathematical monographs ;
26. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Preface to the second edition
- Introduction
- Terminology, conventions, and notation
- Part I. Constructions, examples, and structure theory. 1. Overview of pseudo-reductivity ; 2. Root groups and root systems ; 3. Basic structure theory
- Part II. Standard presentations and their applications. 4. Variation of (G', k'/k, T', C) ; 5. Ubiquity of the standard construction ; 6. Classification results
- Part III. General classification and applications. 7. The exotic constructions ; 8. Preparations for classification in characteristics 2 and 3 ; 9. Absolutely pseudo-simple groups in characteristic 2 ; 10. General case ; 11. Applications
- Part IV. Appendices. A. Background in linear algebraic groups ; B. Tits' work on unipotent groups in nonzero characteristic ; C. Rational conjugacy in connected groups
- References
- Index.