National Science Library of Georgia

Pseudo-reductive groups / (Record no. 518454)

MARC details
000 -LEADER
fixed length control field 02876nam a22003858i 4500
001 - CONTROL NUMBER
control field CR9780511661143
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160240.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 091214s2010||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511661143 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521195607 (hardback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA179
Item number .C667 2010
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.55
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Conrad, Brian,
Dates associated with a name 1970-
Relator term author.
245 10 - TITLE STATEMENT
Title Pseudo-reductive groups /
Statement of responsibility, etc Brian Conrad, Ofer Gabber, Gopal Prasad.
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2010.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xx, 533 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
490 1# - SERIES STATEMENT
სერიის ცნობა New mathematical monographs ;
Volume number/sequential designation 17
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0# - FORMATTED CONTENTS NOTE
Formatted contents 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.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Linear algebraic groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Group theory.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Gabber, Ofer,
Dates associated with a name 1958-
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Prasad, Gopal,
Relator term author.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9780521195607
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title New mathematical monographs ;
Volume number/sequential designation 17.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9780511661143">https://doi.org/10.1017/CBO9780511661143</a>

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