Filtered Category OS and Applications. (Record no. 69313)
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000 -LEADER | |
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fixed length control field | 03649nam a22004693i 4500 |
001 - CONTROL NUMBER | |
control field | EBC3113782 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | MiAaPQ |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240729124550.0 |
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 | 240724s1990 xx o ||||0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9781470408428 |
Qualifying information | (electronic bk.) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 9780821824825 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (MiAaPQ)EBC3113782 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (Au-PeEL)EBL3113782 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (CaPaEBR)ebr10918735 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (OCoLC)891383999 |
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 | QA171 -- .I785 1990eb |
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512/.2 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Irving, Ronald S. |
245 10 - TITLE STATEMENT | |
Title | Filtered Category OS and Applications. |
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 | 1990. |
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Date of production, publication, distribution, manufacture, or copyright notice | ©1990. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (131 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.83 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Intro -- CONTENTS -- I. INTRODUCTION -- 1. INTRODUCTION -- 1.1. Summary -- 1.2. Filtered modules and filtered characters -- 1.3. Projective and self-dual modules -- 1.4. Overview of paper -- 1.5. Acknowledgements -- II. THE HECKE MODULE -- 2. THE SIMPLE AND VERMA BASES -- 2.1. Kazhdan-Lusztig polynomials -- 2.2. The Hecke module: four equivalent definitions -- 2.3. The Hecke module: proof of equivalences -- 2.4. Duality and the simple basis -- 2.5. The Hecke algebra action -- 3. THE PROJECTIVE AND SELF-DUAL BASES -- 3.1. The projective basis -- 3.2. Some elements of the Hecke algebra -- 3.3. An involution of M[sup(*)]sub(s)] -- 3.4. A new self-dual basis -- 4. THE SPECIALIZED HECKE MODULE -- 4.1. Definitions -- 4.2. Duality polynomials -- 4.3. A Jantzen sum formula -- III. THE FILTERED CATEGORY O[sub(s)] -- 5. THE CATEGORY O AND TRANSLATION FUNCTORS -- 5.1. The category and its Grothendieck group -- 5.2. Translation functors -- 6. THE FILTERED CATEGORY O[sub(s)] AND TRANSLATION FUNCTORS -- 6.1. Definition and basic properties of the filtered category -- 6.2. Some important filtrations -- 6.3. Translation functors on the filtered category -- IV. APPLICATIONS -- 7. RADICAL FILTRATIONS OF GENERALIZED VERMA MODULES AND PROJECTIVE MODULES -- 7.1. Radical filtrations of generalized Verma modules -- 7.2. Radical filtrations of projective indecomposable modules -- 7.3. More on radical filtrations -- 7.4. Rigidity of generalized Verma modules and projective modules -- 8. SELF-DUAL PROJECTIVE MODULES AND THEIR FILTERED CHARACTERS -- 8.1. Self-dual projective modules: review -- 8.2. Filtered self-duality of certain projective modules -- 8.3. Applications -- 9. SELF-DUAL MODULES WITH A VERMA FLAG AND THEIR FILTERED CHARACTERS -- 9.1. A class of self-dual modules with a Verma flag -- 9.2. A category of self-dual modules -- REFERENCES. |
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 | Verma modules. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Semisimple Lie groups. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Filtered modules. |
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 | Irving, Ronald S. |
Title | Filtered Category OS and Applications |
Place, publisher, and date of publication | Providence : American Mathematical Society,c1990 |
International Standard Book Number | 9780821824825 |
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=3113782">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113782</a> |
Public note | Click to View |
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