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Graded Simple Jordan Superalgebras of Growth One. (Record no. 69958)

MARC details
000 -LEADER
fixed length control field 03320nam a22004813i 4500
001 - CONTROL NUMBER
control field EBC3114463
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124609.0
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 240724s2001 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470403041
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821826454
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114463
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114463
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11041241
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922965134
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 QA252.5 -- .K33 2001eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510 s;512/.24
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kac, V.G.
245 10 - TITLE STATEMENT
Title Graded Simple Jordan Superalgebras of Growth One.
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 2001.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2001.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (157 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.150
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Contents -- Introduction -- Statement of the Problem -- Definitions and Notation -- The Main Result -- Structure of the Proof -- Chapter 1. Structure of the Even Part -- 1.1. General results -- Chapter 2. Cartan type -- 2.1. Results -- 2.2. A/I one-sided graded -- Chapter 3. Even Part is Direct Sum of two Loop Algebras -- 3.1. General Results -- 3.2. A = F[t[sup(-n)],t[sup(n)]] -- 3.3. A = F[t[sup(-n1)][sub(1)],t[sup(n1)]sub(1)]] ⊕ F[t[sup(-n2)][sub(2)],t[sup(n2)]sub(2)]] -- 3.4. A = L(G') ⊕ L(G) -- Chapter 4. A is a Loop Algebra -- 4.1. General Results -- Chapter 5. J is a finite dimensional Jordan Superalgebra or a Jordan Superalgebra of a Superform -- 5.1. A is finite dimensional -- 5.2. A/I finite dimensional, I ≠ (0) -- 5.3. A is a Jordan algebra of a bilinear form -- Chapter 6. The Main Case -- 6.1. Splitting Theorem -- 6.2. Structure of J -- Chapter 7. Impossible Cases -- 7.1. I = (0), A = A[sup((1))] ⊕ A[sup((2))] -- A[sup((1))] is a loop algebra, A[sup((2))] is one-sided graded -- 7.2. A = A[sup((1))] ⊕ A[sup((2))], A[sup((1))] is a negatively graded algebra, A[sup((2))] is a positively graded algebra -- 7.3. A = A[sup((1))] ⊕ A[sup((2))] with A[sup((1))] infinite dimensional Jordan algebra of a bilinear form -- 7.4. I ≠ (0), A/I is an infinite dimensional Jordan algebra of a nondegenerate symmetric bilinear form -- 7.5. A = A[sup((1))] ⊕ A[sup((2))], A[sup((1))] is finite dimensional -- A[sup((2))] is a loop algebra -- 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 Jordan algebras.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Superalgebras.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Martinez, C.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Zelmanov, E.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Kac, V.G.
Title Graded Simple Jordan Superalgebras of Growth One
Place, publisher, and date of publication Providence : American Mathematical Society,c2001
International Standard Book Number 9780821826454
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=3114463">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114463</a>
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