By Brian Conrad,Gopal Prasad
In the sooner monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the final constitution of pseudo-reductive teams. during this new ebook, Classification of Pseudo-reductive Groups, Conrad and Prasad move additional to check the category over an arbitrary box. An isomorphism theorem proved right here determines the automorphism schemes of those teams. The ebook additionally offers a Tits-Witt kind category of isotropic teams and screens a cohomological obstruction to the life of pseudo-split types. buildings in response to typical degenerate quadratic varieties and new ideas with primary extensions offer perception into new phenomena in attribute 2, which additionally ends up in simplifications of the sooner work. A generalized normal building is proven to account for all percentages as much as light significant extensions.
The effects and strategies constructed in Classification of Pseudo-reductive Groups will curiosity mathematicians and graduate scholars who paintings with algebraic teams in quantity concept and algebraic geometry in optimistic characteristic.
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Classification of Pseudo-reductive Groups (AM-191) (Annals of Mathematics Studies) by Brian Conrad,Gopal Prasad