عنوان

Pseudo-reductive groups /

شابک

0521195608 (hbk.)

شابک

9780521195607 (hbk.)

شماره

b528395

عنوان اصلي

Pseudo-reductive groups /

نام عام مواد

[Book]

نام نخستين پديدآور

Brian Conrad, Ofer Gabber, Gopal Prasad

محل نشرو پخش و غیره

New York :

نام ناشر، پخش کننده و غيره

Cambridge University Press,

تاریخ نشرو بخش و غیره

2010

نام خاص و کميت اثر

xx, 533 p. :

ساير جزييات

ill. ;

ابعاد

24 cm

عنوان فروست

New mathematical monographs ;

مشخصه جلد

17

متن يادداشت

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

متن يادداشت

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

بدون عنوان

0

متن يادداشت

"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"--

متن يادداشت

"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"--

موضوع مستند نشده

Group theory

موضوع مستند نشده

Linear algebraic groups

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Conrad, Brian,1970-

مستند نام اشخاص تاييد نشده

Gabber, Ofer,1958-

مستند نام اشخاص تاييد نشده

Prasad, Gopal

تاريخ عمليات

20110301235535.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y