Classification of Pseudo-reductive Groups (AM-191) /

Classification of Pseudo-reductive Groups (AM-191) / / Gopal Prasad, Brian Conrad.

In the earlier monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the general structure of pseudo-reductive groups. In this new book, Classification of Pseudo-reductive Groups, Conrad and Prasad go further to study the classification over an arbitrary field. An i...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Conrad, Brian,
Prasad, Gopal,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2015]
©2016
Year of Publication:2015
Language:English
Series:Annals of Mathematics Studies ; 191
Online Access:
Physical Description:1 online resource (256 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • 1. Introduction
  • 2. Preliminary notions
  • 3. Field-theoretic and linear-algebraic invariants
  • 4. Central extensions and groups locally of minimal type
  • 5. Universal smooth k-tame central extension
  • 6. Automorphisms, isomorphisms, and Tits classification
  • 7. Constructions with regular degenerate quadratic forms
  • 8. Constructions when Φ has a double bond
  • 9. Generalization of the standard construction
  • A. Pseudo-isogenies
  • B. Clifford constructions
  • C. Pseudo-split and quasi-split forms
  • D. Basic exotic groups of type F4 of relative rank 2
  • Bibliography
  • Index

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