Skip to content
Home/ Classification of Pseudo-Reductive Groups
Classification of Pseudo-Reductive Groups

Classification of Pseudo-Reductive Groups

by Conrad, Brian
No customer reviews yet ISBN 9780691167930

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.

About the author

Product details

Pub dateNov 10, 2015
ISBN-100691167931
ISBN-139780691167930
LanguageEnglish
Last updated 2026-04-05 04:04
$107.84
In stock — ships in 24 hours with free tracking
Delivery by Monday, September 14, 2026
Qty
Sign in to Add to Saved list
Free delivery on orders over $35.
15-day returns. Any reason.
Secure checkout. We never store card details.

Readers who bought this also bought

More from Mathematical Analysis
See all
Mathematics: MacMillan Science Library, 4 Volume Set
<p>This full-color update of the award-winning 2002 A-Z encyclopedia explains concepts, provides a historical overview, and explores careers in the field. Written for middle school/high school students, as well as non-math-major undergraduates, <em>Mathematics</em> contains some 300 entries that cover the basics of algebra, geometry and trigonometry, with the goal of making these topics more accessible and interesting. Readers will see the uses and effects of math in daily life, while short biographies highlight notable mathematicians. Thirty percent of the content is new to this edition, highlighting advances in mathematics since 2000. <em>Mathematics</em> is illustrated with images, equations, tables, and figures, and includes sidebars.<br /><br />Both the original edition and the new were shaped by expert boards who determined the entry list and reviewed content. Each entry contains a bibliography/suggestions for further reading and crossâ references directing the users to articles of related interest.<br />
$1,251.17
Problems in Real Analysis (Revised)
Aliprantis, Charalambos D
$122.73
Principles of Real Analysis (Revised)
Aliprantis, Charalambos D
$173.55
Probability & Measure Theory
Ash, Robert B
$149.30
Working Analysis
Cooper, Jeffery
$155.07
Regression Analysis
Ping Sa
$47.60