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Based Ring of Two-Sided Cells of Affine Weyl Groups of Type ̃A_{n-1}. (Record no. 69903)

MARC details
000 -LEADER
fixed length control field 03857nam a22004933i 4500
001 - CONTROL NUMBER
control field EBC3114408
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124607.0
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 240724s2002 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470403423
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821828915
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114408
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114408
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11041186
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922964891
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 QA174.2 -- .X5 2002eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510 s;512/.55
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Xi, Nanhua.
245 10 - TITLE STATEMENT
Title Based Ring of Two-Sided Cells of Affine Weyl Groups of Type ̃A_{n-1}.
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 2002.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2002.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (114 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.157
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Contents -- Introduction -- Chapter 1. Cells in Affine Weyl Groups -- 1.1. Hecke algebra -- 1.2. Cell and a-function -- 1.3. Affine Weyl group -- 1.4. Star operation -- 1.5. Based ring -- 1.6. Star operation, II -- Chapter 2. Type A[sub(n-1)] -- 2.1. The affine Weyl group associated with GL[sub(n)](C) -- 2.2. Cells -- 2.3. The based ring J[sub(c)] -- 2.4. Chains and antichains -- 2.5. Star operations for W -- Chapter 3. Canonical Left Cells -- 3.1. The dominant weights -- 3.2. The right cell containing x ∈ X[sup(+)] -- 3.3. The elements m[sub(x)] -- 3.4. The distinguished involutions -- Chapter 4. The Group F[sup(λ)] and Its Representation -- 4.1. The group F[sub(λ)] -- 4.2. The representation ring of F[sub(λ)] -- Chapter 5. A Bijection Between T[sub(λ)] ∩ Γ[sup(-1)][sub(λ)] And IrrF[sub(λ)] -- 5.1. r-antichains of elements in Γ[sub(λ)] &amp -- #8745 Γ[sup(-1)][sup(λ)] -- 5.2. A map from Γ[sub(λ)] &amp -- #8745 Γ[sup(-1)][sup(λ)] to Dom(F[sub(λ)]) -- 5.3. Constructing elements of Γ[sub(λ)] &amp -- #8745 Γ[sup(-1)][sup(λ)] -- 5.4. Some simple properties of elements in Γ[sub(λ)] &amp -- #8745 Γ[sup(-1)][sup(λ)] -- 5.5. Some elements of Γ[sub(λ)] &amp -- #8745 Γ[sup(-1)][sup(λ)] -- Chapter 6. A Factorization Formula in J[sub(Γ[sub(λ)] &amp -- #8745 Γ[sup(-1)][sup(λ)])] -- 6.1. The integers γ[sub(u,v,w)] -- 6.2. A computation for some T[sub(u)]T[sub(v)] -- 6.3. Some consequences -- 6.4. The factorization formula -- Chapter 7. A Multiplication Formula in J[sub(Γ[sub(λ)] &amp -- #8745 Γ[sup(-1)][sup(λ)])] -- 7.1. A computation for some T[sub(u)]T[sub(v)] -- 7.2. A multiplication formula -- Chapter 8. The Based Rings J[sub(Γ[sub(λ)] &amp -- #8745 Γ[sup(-1)][sup(λ)])] and J[sub(c)] -- 8.1. Some lemmas -- 8.2. The based ring J[sub(Γ[sub(λ)] &amp -- #8745 Γ[sup(-1)][sup(λ)])] and the based ring J[sub(c)] -- 8.3. PGL[sub(n)](C).
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 8.4. SL[sub(n)](C) -- Bibliography -- Index -- Notation.
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 Weyl groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Representations of groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element K-theory.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name XI, Nanhua.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Xi, Nanhua
Title Based Ring of Two-Sided Cells of Affine Weyl Groups of Type ̃A_{n-1}
Place, publisher, and date of publication Providence : American Mathematical Society,c2002
International Standard Book Number 9780821828915
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=3114408">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114408</a>
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