Download e-book for iPad: Classification of Pseudo-reductive Groups (AM-191) (Annals by Brian Conrad,Gopal Prasad

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 publication, Classification of Pseudo-reductive Groups, Conrad and Prasad pass extra to review the type over an arbitrary box. An isomorphism theorem proved the following determines the automorphism schemes of those teams. The booklet additionally supplies a Tits-Witt sort category of isotropic teams and monitors a cohomological obstruction to the lifestyles of pseudo-split types. buildings in keeping with average degenerate quadratic types and new thoughts with crucial extensions supply perception into new phenomena in attribute 2, which additionally ends up in simplifications of the sooner work. A generalized general development is proven to account for all chances as much as light valuable extensions.

The effects and techniques constructed in Classification of Pseudo-reductive Groups will curiosity mathematicians and graduate scholars who paintings with algebraic teams in quantity idea 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

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