Extended Graphical Calculus for Categorified Quantum sl(2). (Record no. 69896)
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000 -LEADER | |
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fixed length control field | 03255nam a22005173i 4500 |
001 - CONTROL NUMBER | |
control field | EBC3114401 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | MiAaPQ |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240729124606.0 |
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 | 240724s2012 xx o ||||0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780821891100 |
Qualifying information | (electronic bk.) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 9780821889770 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (MiAaPQ)EBC3114401 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (Au-PeEL)EBL3114401 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (CaPaEBR)ebr11041179 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (OCoLC)922964944 |
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 | QA169 -- .E984 2011eb |
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512/.482 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Khovanov, Mikhail. |
245 10 - TITLE STATEMENT | |
Title | Extended Graphical Calculus for Categorified Quantum sl(2). |
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 | 2012. |
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Date of production, publication, distribution, manufacture, or copyright notice | ©2011. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (100 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.219 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Intro -- Contents -- Abstract -- Chapter 1. Introduction -- 1.1. The algebra -- 1.2. Categorification -- 1.3. Diagrammatics for the Karoubi envelope -- 1.4. Categorification and symmetric functions -- 1.5. Relations to other categorifications -- Chapter 2. Thick calculus for the nilHecke ring -- 2.1. The nilHecke ring and its diagrammatics -- 2.2. Boxes, thick lines, and splitters -- 2.3. Partitions, symmetric functions, and their diagrammatics -- 2.4. Splitter equations, explosions, and idempotents -- 2.5. The nilHecke algebra as a matrix algebra over its center -- Chapter 3. Brief review of calculus for categorified sl(2) -- 3.1. The algebra -- 3.2. The 2-category -- 3.3. Box notation for -- 3.4. Karoubi envelope -- Chapter 4. Thick calculus and -- 4.1. Thick lines oriented up or down -- 4.2. Splitters as diagrams for the inclusion of a summand -- 4.3. Adding isotopies via thick caps and cups -- 4.4. Thin bubble slides -- 4.5. Thick bubbles -- 4.6. Thick bubble slides and some key lemmas -- Chapter 5. Decompositions of functors and other applications -- 5.1. Decomposition of ℰ^{( )}ℰ^{( )}1_{ } -- 5.2. Decomposition of ℰ^{( )}ℱ^{( )}1_{ } -- 5.3. Indecomposables over ℤ -- 5.4. Bases for HOMs between some 1-morphisms -- 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 | Categories (Mathematics). |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Quantum groups. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Symmetric functions. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Finite fields (Algebra). |
655 #4 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Lauda, Aaron D. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Mackaay, Marco. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Stosic, Marko. |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Print version: |
Main entry heading | Khovanov, Mikhail |
Title | Extended Graphical Calculus for Categorified Quantum sl(2) |
Place, publisher, and date of publication | Providence : American Mathematical Society,c2012 |
International Standard Book Number | 9780821889770 |
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=3114401">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114401</a> |
Public note | Click to View |
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