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Classification of Pseudo-reductive Groups (AM-191)

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by Brian Conrad & Gopal Prasad
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Classification of Pseudo-reductive Groups (AM-191) by Brian Conrad & Gopal Prasad

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.

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Ebook Details
Pages: 272
Size: 5.1 MB
Publisher: Princeton University Press
Date published:   2015
ISBN: 9781400874026 (DRM-EPUB)
2370006726180 (DRM-PDF)

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This product is listed in the following categories:

Nonfiction > Mathematics > Mathematical Analysis
Nonfiction > Mathematics > Number Theory
Nonfiction > Mathematics > Geometry > Algebraic

These authors have products in the following categories:

Nonfiction > Mathematics > Algebra > Linear
Nonfiction > Mathematics > Number Theory
Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Mathematical Analysis
Nonfiction > Mathematics > Geometry > Algebraic

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