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

Brian Conrad and Gopal Prasad

Abstract

This book goes further than the exploration of the general structure of pseudo-reductive groups 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 wo ... More

Keywords: pseudo-reductive group, Isomorphism Theorem, automorphism scheme, isotropic group, pseudo-split form, degenerate quadratic form, number theory, algebraic geometry, characteristic 2

Bibliographic Information

Print publication date: 2015 Print ISBN-13: 9780691167923
Published to Princeton Scholarship Online: October 2017 DOI:10.23943/princeton/9780691167923.001.0001

Authors

Affiliations are at time of print publication.

Brian Conrad, author
Stanford University

Gopal Prasad, author
University of Michigan