Classification of pseudo-reductive groups / (Record no. 81322)

000 -LEADER
fixed length control field 05295cam a2200901Mi 4500
001 - CONTROL NUMBER
control field ocn930040951
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220908100101.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
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007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 151120s2016 nju ob 001 0 eng d
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2015023803
040 ## - CATALOGING SOURCE
Original cataloging agency YDXCP
Language of cataloging eng
Description conventions rda
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Transcribing agency YDXCP
Modifying agency OCLCO
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019 ## -
-- 922702226
-- 932328021
-- 1055356148
-- 1066678245
-- 1228573392
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1400874025
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781400874026
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780691167923
Qualifying information (hardcover ;
-- alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 0691167923
Qualifying information (hardcover ;
-- alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780691167930
Qualifying information (pbk. ;
-- alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 0691167931
Qualifying information (pbk. ;
-- alk. paper)
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1515/9781400874026
Source of number or code doi
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier DEBBG
System control number BV043598828
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier GBVCP
System control number 861794389
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier DEBSZ
System control number 47798486X
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier AU@
System control number 000060077744
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier AU@
System control number 000068443163
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)930040951
Canceled/invalid control number (OCoLC)922702226
-- (OCoLC)932328021
-- (OCoLC)1055356148
-- (OCoLC)1066678245
-- (OCoLC)1228573392
037 ## - SOURCE OF ACQUISITION
Stock number 832712
Source of stock number/acquisition MIL
037 ## - SOURCE OF ACQUISITION
Stock number 22573/ctt193f7hw
Source of stock number/acquisition JSTOR
037 ## - SOURCE OF ACQUISITION
Stock number 9452403
Source of stock number/acquisition IEEE
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA179
Item number .C665 2016
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 002040
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT034000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT022000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT012010
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.55
Edition number 23
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Conrad, Brian,
Dates associated with a name 1970-
9 (RLIN) 64631
245 10 - TITLE STATEMENT
Title Classification of pseudo-reductive groups /
Statement of responsibility, etc. Brian Conrad, Gopal Prasad.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice �2016
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Princeton :
Name of producer, publisher, distributor, manufacturer Princeton University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2016.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (1 volume)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Annals of mathematics studies ;
Volume/sequential designation number 191
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references and index.
588 0# - SOURCE OF DESCRIPTION NOTE
Source of description note Print version record.
520 ## - SUMMARY, ETC.
Summary, etc. In the earlier monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the general structure of pseudo-reductive groups. In this new book, Classification of Pseudo-reductive Groups, Conrad and Prasad go further to study the classification over an arbitrary field. An isomorphism theorem proved here determines the automorphism schemes of these groups. The book also gives a Tits-Witt type classification of isotropic groups and displays a cohomological obstruction to the existence of pseudo-split forms. Constructions based on regular degenerate quadratic forms and new techniques with central extensions provide insight into new phenomena in characteristic 2, which also leads to simplifications of the earlier work. A generalized standard construction is shown to account for all possibilities up to mild central extensions. The results and methods developed in Classification of Pseudo-reductive Groups will interest mathematicians and graduate students who work with algebraic groups in number theory and algebraic geometry in positive characteristic.
546 ## - LANGUAGE NOTE
Language note In English.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Cover; Title; Copyright; Contents; 1 Introduction; 1.1 Motivation; 1.2 Root systems and new results; 1.3 Exotic groups and degenerate quadratic forms; 1.4 Tame central extensions; 1.5 Generalized standard groups; 1.6 Minimal type and general structure theorem; 1.7 Galois-twisted forms and Tits classification; 1.8 Background, notation, and acknowledgments; 2 Preliminary notions; 2.1 Standard groups, Levi subgroups, and root systems; 2.2 The basic exotic construction; 2.3 Minimal type; 3 Field-theoretic and linear-algebraic invariants; 3.1 A non-standard rank-1 construction
590 ## - LOCAL NOTE (RLIN)
Local note IEEE
Provenance (VM) [OBSOLETE] IEEE Xplore Princeton University Press eBooks Library
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Linear algebraic groups.
9 (RLIN) 64632
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Group theory.
9 (RLIN) 14163
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Geometry, Algebraic.
9 (RLIN) 27916
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Groupes lin�eaires alg�ebriques.
9 (RLIN) 64633
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Th�eorie des groupes.
9 (RLIN) 63799
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element G�eom�etrie alg�ebrique.
9 (RLIN) 64634
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS
General subdivision Algebra
-- Intermediate.
Source of heading or term bisacsh
9 (RLIN) 64159
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS
General subdivision Mathematical Analysis.
Source of heading or term bisacsh
9 (RLIN) 16301
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Geometry, Algebraic.
Source of heading or term fast
Authority record control number or standard number (OCoLC)fst00940902
9 (RLIN) 27916
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Group theory.
Source of heading or term fast
Authority record control number or standard number (OCoLC)fst00948521
9 (RLIN) 14163
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Linear algebraic groups.
Source of heading or term fast
Authority record control number or standard number (OCoLC)fst00999060
9 (RLIN) 64632
655 #0 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic book.
9 (RLIN) 7794
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
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655 #7 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
Source of term lcgft
9 (RLIN) 3294
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Prasad, Gopal.
9 (RLIN) 64635
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
International Standard Book Number 9780691167923
-- 0691167923
Record control number (DLC) 2015023803
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Annals of mathematics studies ;
Volume/sequential designation no. 191.
9 (RLIN) 64636
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452403">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452403</a>
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