Classification of pseudo-reductive groups (Book, 2016) []
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Classification of pseudo-reductive groups

Classification of pseudo-reductive groups

Author: Brian Conrad; Gopal Prasad
Publisher: Princeton : Princeton University Press, 2016.
Series: Annals of mathematics studies, no. 191.
Edition/Format:   Print book : English
Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To make the continued  Read more...

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Document Type: Book
All Authors / Contributors: Brian Conrad; Gopal Prasad
ISBN: 9780691167923 0691167923 9780691167930 0691167931 0069116792 9780069116799
OCLC Number: 908083895
Description: vii, 245 pages : illustrations ; 25 cm.
Contents: Introduction --
Preliminary notions --
Field-theoretic and linear-algebraic invariants --
Central extensions and groups locally of minimal type --
Universal smooth k-tame central extension --
Automorphisms, isomorphisms, and Tits classification --
Constructions with regular degenerate quadratic forms --
Constructions when phi has a double bond --
Generalization of the standard construction --
Pseudo-isogenies --
Clifford constructions --
Pseudo-split and quasi-split forms --
Basic exotic groups of type F4 of relative rank 2.
Series Title: Annals of mathematics studies, no. 191.
Responsibility: Brian Conrad, Gopal Prasad.


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  Read more...


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"This book is beautiful and will be at the origin of many advances in the general theory of arbitrary algebraic groups."--Bertrand Remy, MathSciNet

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