Algebraic

Classification of Pseudo-reductive Groups

Name: Classification of Pseudo-reductive Groups
Brand: Princeton University Press
SKU: 9780691167923
Price: 29077.00 INR
Availability: InStock
ISBN: 9780691167923

Contributor(s): Conrad, Brian Author , Prasad, Gopal Author Format: Hardback

Hardback · ISBN 9780691167923

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Key Specifications

ISBN	9780691167923
Publisher	Princeton University Press
Publication date	November 2015
Language	English
MRP	£184.00 GBP
Page count	256
Item weight	119 g

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 automorphism schemes of these groups. The book also gives a Tits-Witt type classification of isotropic groups and displays a cohomological obstruction to the existence of pseudo-split forms. Constructions based on regular degenerate quadratic forms and new techniques with central extensions provide insight into new phenomena in characteristic 2, which also leads to simplifications of the earlier work. A generalized standard construction is shown to account for all possibilities up to mild central extensions.

The results and methods developed in Classification of Pseudo-reductive Groups will interest mathematicians and graduate students who work with algebraic groups in number theory and algebraic geometry in positive characteristic.

Classification of Pseudo-reductive Groups

Key Specifications

Conrad, Brian Author

Prasad, Gopal Author

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