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Document Type: | Book |
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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. |
Abstract:
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 isomorphism theorem proved here determines the auto
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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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