Pseudo-reductive Groups
2nd edition
Par : , , Formats :
- Nombre de pages666
- PrésentationRelié
- FormatGrand Format
- Poids1.17 kg
- Dimensions16,0 cm × 23,7 cm × 4,4 cm
- ISBN978-1-107-08723-1
- EAN9781107087231
- Date de parution01/06/2015
- CollectionNew Mathematical Monographs
- ÉditeurCambridge University Press
Résumé
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 explains their structure in a usable form. In this second edition there is new material on relative root systems and Tits systems for general smooth affine groups, including the extension to quasi-reductive groups of famous simplicity results of Tits in the semisimple case.
Chapter 9 has been completely rewritten to describe and classify pseudo-split absolutely pseudo-simple groups with a non-reduced root system over arbitrary fields of characteristic 2 via the useful new notion of "minimal type" for pseudo-reductive groups.
Chapter 9 has been completely rewritten to describe and classify pseudo-split absolutely pseudo-simple groups with a non-reduced root system over arbitrary fields of characteristic 2 via the useful new notion of "minimal type" for 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 explains their structure in a usable form. In this second edition there is new material on relative root systems and Tits systems for general smooth affine groups, including the extension to quasi-reductive groups of famous simplicity results of Tits in the semisimple case.
Chapter 9 has been completely rewritten to describe and classify pseudo-split absolutely pseudo-simple groups with a non-reduced root system over arbitrary fields of characteristic 2 via the useful new notion of "minimal type" for pseudo-reductive groups.
Chapter 9 has been completely rewritten to describe and classify pseudo-split absolutely pseudo-simple groups with a non-reduced root system over arbitrary fields of characteristic 2 via the useful new notion of "minimal type" for pseudo-reductive groups.
