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Annals of Mathematics Studies: Classification of Pseudo-Reductive Groups by Brian Conrad and Gopal Prasad (2015, Hardcover)

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About this product

Product Identifiers

PublisherOxford University Press, Incorporated

ISBN-100691167923

ISBN-139780691167923

eBay Product ID (ePID)211359650

Product Key Features

Number of Pages256 Pages

Publication NameClassification of Pseudo-Reductive Groups

LanguageEnglish

SubjectGroup Theory, Algebra / Linear, Number Theory, Geometry / Algebraic, Mathematical Analysis

Publication Year2015

TypeTextbook

AuthorBrian Conrad, Gopal Prasad

Subject AreaMathematics

SeriesAnnals of Mathematics Studies

FormatHardcover

Dimensions

Item Height0.7 in

Item Weight17 Oz

Item Length9.5 in

Item Width6.5 in

Additional Product Features

Intended AudienceCollege Audience

LCCN2015-023803

Dewey Edition23

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

Series Volume Number191

IllustratedYes

Dewey Decimal512/.55

SynopsisIn 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.

LC Classification NumberQA179.C665 2016