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Pseudo-reductive Groups (Relié)
2nd edition
Edition en anglais
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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.
Fiche technique
- Date de parution : 01/06/2015
- Editeur : Cambridge University Press
- Collection : New Mathematical Monographs
- ISBN : 978-1-107-08723-1
- EAN : 9781107087231
- Format : Grand Format
- Présentation : Relié
- Nb. de pages : 666 pages
- Poids : 1.17 Kg
- Dimensions : 16,0 cm × 23,7 cm × 4,4 cm
L'éditeur en parle
The New Mathematical Monographs are dedicated to books containing an in-depth discussion of a substantial area of mathematics. They bring the reader to the forefront of research by presenting a synthesis of the key results, while also acknowledging the wider mathematical context. As well as being detailed, they are readable and contain the motivational material necessary for those entering a field.
For established researchers they are a valuable resource. Books are edited and typeset to a high standard and published in hardback.
For established researchers they are a valuable resource. Books are edited and typeset to a high standard and published in hardback.
À propos des auteurs
Brian Conrad is Professor of Mathematics at Stanford University. Ofer Gabber is Directeur de Recherche CNRS at the Institut des Hautes Etudes Scientifiques. Gopal Prasad is Raoul Bott Professor of Mathematics at the University of Michigan.
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Pseudo-reductive Groups 2nd edition
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