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 |
