Classification of Pseudo-reductive Groups (AM-191)

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Number Theory
Cover of the book Classification of Pseudo-reductive Groups (AM-191) by Brian Conrad, Gopal Prasad, Princeton University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Brian Conrad, Gopal Prasad ISBN: 9781400874026
Publisher: Princeton University Press Publication: November 10, 2015
Imprint: Princeton University Press Language: English
Author: Brian Conrad, Gopal Prasad
ISBN: 9781400874026
Publisher: Princeton University Press
Publication: November 10, 2015
Imprint: Princeton University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Princeton University Press

Cover of the book Pursuing Sustainability by Brian Conrad, Gopal Prasad
Cover of the book Collected Works of C.G. Jung, Volume 13 by Brian Conrad, Gopal Prasad
Cover of the book Wildlife of Southeast Asia by Brian Conrad, Gopal Prasad
Cover of the book The Price of Everything by Brian Conrad, Gopal Prasad
Cover of the book Nietzsche, Godfather of Fascism? by Brian Conrad, Gopal Prasad
Cover of the book Philip Roth's Rude Truth by Brian Conrad, Gopal Prasad
Cover of the book Framing Democracy by Brian Conrad, Gopal Prasad
Cover of the book Enlightenment against Empire by Brian Conrad, Gopal Prasad
Cover of the book The Politics of Evangelical Identity by Brian Conrad, Gopal Prasad
Cover of the book Mirages and Mad Beliefs by Brian Conrad, Gopal Prasad
Cover of the book Complex Adaptive Systems by Brian Conrad, Gopal Prasad
Cover of the book That Eminent Tribunal by Brian Conrad, Gopal Prasad
Cover of the book Competitive Solutions by Brian Conrad, Gopal Prasad
Cover of the book Far from Land by Brian Conrad, Gopal Prasad
Cover of the book Nation Building by Brian Conrad, Gopal Prasad
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy