Pseudo-reductive Groups

English

Series: New Mathematical Monographs

ISBN: 1139036645

EAN: 9781139036641

Category: Mathematics / Group Theory

Publisher: Cambridge University Press

Release Date: 07/29/2010

Synopsis: Pseudo-reductive groups arise naturally in the study of general smooth linear algebraic groups over non-perfect fields and have many important applications. This self-contained monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form. The authors present numerous new results and also give a complete exposition of Tits' structure theory of unipotent groups. They prove the conjugacy results (conjugacy of maximal split tori, minimal pseudo-parabolic subgroups, maximal split unipotent subgroups) announced by Armand Borel and Jacques Tits, and also give the Bruhat decomposition, of general smooth connected algebraic groups. Researchers and graduate students working in any related area, such as algebraic geometry, algebraic group theory, or number theory, will value this book as it develops tools likely to be used in tackling other problems.

Excerpt: Unknown Property Excerpt

Pseudo-reductive Groups

Illustrated: No

Format: eBook - PDF

Pages: 554