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 form. In...
| Otros Autores: | , , |
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press
2015.
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| Edición: | Second edition |
| Colección: | CUP ebooks.
New mathematical monographs ; 26. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b45417593*spi |
Tabla de Contenidos:
- 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.
