ISBN 9780521195607 | 0521195608 Textbooks - "Pseudo&reductive Groups New Mathematical Monographs" by Brian Conrad Prasad Gopal Brian Conrad Ofer Gabber Gopal Prasad Brian Gabber Ofer and Prasad Gopal Gabber Ofer Conrad Brian Conrad Ofer Gabber

Authors: Brian - Conrad - Prasad - Gopal - Brian Conrad - Ofer Gabber - Gopal Prasad - Brian; Gabbe…
ISBN 10: 0521195608
ISBN 13: 9780521195607
Release: August 31, 2010
Format: Hardcover (554 pages)
List Price: $99.00
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List Price: $99.00

Tags: Science, Mathematics,

Book Description:
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.

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Pseudo-reductive Groups (New Mathematical Monographs)