Pseudo-reductive Groups (New Mathematical Monographs) by Brian Conrad,Ofer Gabber,Gopal Prasad PDF

By Brian Conrad,Ofer Gabber,Gopal Prasad

Pseudo-reductive teams come up certainly within the research of basic delicate linear algebraic teams over non-perfect fields and feature many very important purposes. This self-contained monograph presents a entire remedy of the idea of pseudo-reductive teams and provides their category in a usable shape. The authors current various new effects and likewise provide an entire exposition of knockers' constitution conception of unipotent teams. They end up the conjugacy effects (conjugacy of maximal cut up tori, minimum pseudo-parabolic subgroups, maximal break up unipotent subgroups) introduced by means of Armand Borel and Jacques titties, and likewise supply the Bruhat decomposition, of normal soft attached algebraic teams. Researchers and graduate scholars operating in any comparable quarter, akin to algebraic geometry, algebraic staff conception, or quantity concept, will price this publication because it develops instruments prone to be utilized in tackling different problems.

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