عنوان

Pseudo-reductive groups /

شابک

1107087236

شابک

9781107087231

شماره

dltt

عنوان اصلي

Pseudo-reductive groups /

نام عام مواد

[Book]

نام نخستين پديدآور

Brian Conrad (Stanford University), Ofer Gabber (Institut des hautes études scientifiques), Gopal Prasad (University of Michigan).

وضعيت ويراست

Second edition.

نام خاص و کميت اثر

xxiv, 665 pages ;

ابعاد

24 cm.

عنوان فروست

New mathematical monographs ;

مشخصه جلد

26

متن يادداشت

Includes bibliographical references (pages 656658) and index.

متن يادداشت

Introduction -- Terminology, conventions, and notation -- Part I: Constructions, Examples, and Structure Theory. 1. Overview of pseudo-reductivity ; 2. Root groups and root systems ; 3. Basic structure theory -- Part II: Standard Presentations and Their Applications. 4. Variation of (G', k'/k, T', C) ; 5. Ubiquity of the standard construction ; 6. Classification results -- Part III: General Classification and Applications. 7. The exotic constructions ; 8. Preparations for classification in characteristics 2 and 3 ; 9. Absolutely pseudo-simple groups in characteristic 2 ; 10. General case ; 11. Applications -- Part IV: Appendices. A. Background in linear algebraic groups ; B. Tits' work on unipotent groups in nonzero characteristic ; C. Rational conjugacy in connected groups -- References -- Index.

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 monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form. In this second edition there is new material on relative root systems and Tits systems for general smooth affine groups, including the extension to quasi-reductive groups of famous simplicity results of Tits in the semisimple case. Chapter 9 has been completely rewritten to describe and classify pseudo-split absolutely pseudo-simple groups with a non-reduced root system over arbitrary fields of characteristic 2 via the useful new notion of 'minimal type' for pseudo-reductive groups. Researchers and graduate students working in related areas, 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.

موضوع مستند نشده

Group theory.

موضوع مستند نشده

Linear algebraic groups.

موضوع مستند نشده

Lineare algebraische Gruppe.

موضوع مستند نشده

MATHEMATICS / Algebra / General.

موضوع مستند نشده

Reduktive Gruppe.

شماره رده

کد سيستم

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

20151124131238.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y