عنوان

Pseudo-reductive groups /

(Number (ISBN

0521195608 (hbk.)

(Number (ISBN

9780521195607 (hbk.)

Number

b528395

Title Proper

Pseudo-reductive groups /

General Material Designation

[Book]

First Statement of Responsibility

Brian Conrad, Ofer Gabber, Gopal Prasad

Place of Publication, Distribution, etc.

New York :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

2010

Specific Material Designation and Extent of Item

xx, 533 p. :

Other Physical Details

ill. ;

Dimensions

24 cm

Series Title

New mathematical monographs ;

Volume Designation

17

Text of Note

Includes bibliographical references (p. 525-526) and index

Text of Note

Constructions, examples, and structure theory. Overview of pseudo-reductivity ; Root groups and root systems ; Basic structure theory -- Standard presentations and their applications. Variation of (G', k'/k, T', C) ; Ubiquity of the standard construction ; Classification results -- General classification and applications. The exotic constructions ; Preparations for classification in characteristics 2 and 3 ; The absolutely pseudo-simple groups in characteristic 2 ; General case ; Applications -- Appendices. Background in linear algebraic groups ; Tits' work on unipotent groups in nonzero characteristic ; Rational conjugacy in connected groups

0

Text of Note

"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"--

Text of Note

"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"--

Group theory

Linear algebraic groups

Number

Edition

Class number

Book number

Conrad, Brian,1970-

Gabber, Ofer,1958-

Prasad, Gopal

Date of Transaction

20110301235535.0

Electronic name

[Book]

Y