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Exceptional Lie Algebras and the Structure of Hermitian Symmetric Spaces. (Record no. 69005)

MARC details
000 -LEADER
fixed length control field 03612nam a22004573i 4500
001 - CONTROL NUMBER
control field EBC3113471
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124543.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2005 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470403553
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821839355
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3113471
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3113471
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10882130
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922981058
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA252.3 -- .D78 1978eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510/.8 s;512/.55
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Drucker, Daniel.
245 10 - TITLE STATEMENT
Title Exceptional Lie Algebras and the Structure of Hermitian Symmetric Spaces.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2005.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2005.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (214 pages)
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 Memoirs of the American Mathematical Society ;
Volume/sequential designation v.16
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- TABLE OF CONTENTS -- INTRODUCTION -- SOME NOTATIONAL CONVENTIONS -- I. ALGEBRAIC PRELIMINARIES -- 1. Algebras -- 2. Alternative algebras -- 3. Composition algebras -- 4 . Jordan algebras -- 5. The Tits construction -- II. e[sub(6)] AND e[sub(7)] -- 1. Notational conventions -- 2. Some derivation algebras -- 3. The Lie multiplication in e[sub(6)] -- 4. The Lie multiplication in e[sub(7)] -- III. GEOMETRIC PRELIMINARIES -- 1. Adjoint representations -- 2. Cartan decompositions -- 3 . Hermitian symmetric spaces -- 4. Duality -- 5. Rank -- 6 .Classification -- 7. Roots and Cayley transforms -- 8. Imbedding theorems -- 9. Restricted roots -- 10. Langlands' theorem -- 11 . Orbits and holomorphic arc components -- 12. Jordan structure -- IV. THE CLASSICAL DOMAINS -- 1. The method -- 2. Determination of the realizations -- 3. Equivalence with the standard realizations -- V. THE 27-DIMENSIONAL EXCEPTIONAL DOMAIN -- 1. Determination of bounded realization by use of Tits' construction -- 2. Comparison with the realizations of Koecher and Ise -- VI. THE 16-DIMENSIONAL EXCEPTIONAL DOMAIN -- 1. Determination of bounded realization by use of Tits' construction -- 2. Comparison with the realizations of Koecher and Ise -- VII. ORBITS -- 1 . The orbit pullbacks in general -- 2. Determination of the orbit pullbacks -- VIII. HOLOMORPHIC ARC COMPONENTS -- 1. The holomorphic arc component pullbacks in general -- 2. Determination of the holomorphic arc component pullbacks: the classical cases -- 3. Determination of the holomorphic arc component pullbacks: the exceptional cases -- APPENDIX A. CAYLEY ALGEBRAS -- APPENDIX B. DERIVATIONS OF [omitted]E -- APPENDIX C. DERIVATION ALGEBRAS IN TITS' CONSTRUCTION -- LIST OF NOTATIONS -- BIBLIOGRAPHY.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Exceptional Lie algebras.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Hermitian symmetric spaces.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Drucker, Daniel
Title Exceptional Lie Algebras and the Structure of Hermitian Symmetric Spaces
Place, publisher, and date of publication Providence : American Mathematical Society,c2005
International Standard Book Number 9780821839355
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113471">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113471</a>
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