Affine Insertion and Pieri Rules for the Affine Grassmannian. (Record no. 69792)
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| 000 -LEADER | |
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| fixed length control field | 04082nam a22005053i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114261 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124604.0 |
| 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 | 240724s2010 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470405915 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821846582 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114261 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114261 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039880 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981972 |
| 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 | QA3 -- .A345 2010eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516/.4 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Lam, Thomas. |
| 245 10 - TITLE STATEMENT | |
| Title | Affine Insertion and Pieri Rules for the Affine Grassmannian. |
| 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 | 2010. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2010. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (103 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.208 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Introduction -- Chapter 1. Schubert Bases of Gr and Symmetric Functions -- 1.1. Symmetric functions -- 1.2. Schubert bases of Gr -- 1.3. Schubert basis of the affine flag variety -- Chapter 2. Strong Tableaux -- 2.1. n as a Coxeter group -- 2.2. Fixing a maximal parabolic subgroup -- 2.3. Strong order and strong tableaux -- 2.4. Strong Schur functions -- Chapter 3. Weak Tableaux -- 3.1. Cyclically decreasing permutations and weak tableaux -- 3.2. Weak Schur functions -- 3.3. Properties of weak strips -- 3.4. Commutation of weak strips and strong covers -- Chapter 4. Affine Insertion and Affine Pieri -- 4.1. The local rule u,v -- 4.2. The affine insertion bijection u,v -- 4.3. Pieri rules for the affine Grassmannian -- 4.4. Conjectured Pieri rule for the affine flag variety -- 4.5. Geometric interpretation of strong Schur functions -- Chapter 5. The Local Rule u,v -- 5.1. Internal insertion at a marked strong cover -- 5.2. Definition of u,v -- 5.3. Proofs for the local rule -- Chapter 6. Reverse Local Rule -- 6.1. Reverse insertion at a cover -- 6.2. The reverse local rule -- 6.3. Proofs for the reverse insertion -- Chapter 7. Bijectivity -- 7.1. External insertion -- 7.2. Case A (commuting case) -- 7.3. Case B (bumping case) -- 7.4. Case C (replacement bump) -- Chapter 8. Grassmannian Elements, Cores, and Bounded Partitions -- 8.1. Translation elements -- 8.2. The action of n on partitions -- 8.3. Cores and the coroot lattice -- 8.4. Grassmannian elements and the coroot lattice -- 8.5. Bijection from cores to bounded partitions -- 8.6. k-conjugate -- 8.7. From Grassmannian elements to bounded partitions -- Chapter 9. Strong and Weak Tableaux Using Cores -- 9.1. Weak tableaux on cores are k-tableaux -- 9.2. Strong tableaux on cores -- 9.3. Monomial expansion of t-dependent k-Schur functions. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 9.4. Enumeration of standard strong and weak tableaux -- Chapter 10. Affine Insertion in Terms of Cores -- 10.1. Internal insertion for cores -- 10.2. External insertion for cores (Case X) -- 10.3. An example -- 10.4. Standard case -- 10.5. Coincidence with RSK as n -- 10.6. The bijection for n = 3 and m = 4 -- 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 | Geometry, Affine. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Combinatorial analysis. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Lapointe, Luc. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Morse, Jennifer. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Shimozono, Mark. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Lam, Thomas |
| Title | Affine Insertion and Pieri Rules for the Affine Grassmannian |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2010 |
| International Standard Book Number | 9780821846582 |
| 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=3114261">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114261</a> |
| Public note | Click to View |
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