Poset of k-Shapes and Branching Rules for k-Schur Functions. (Record no. 70072)
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| fixed length control field | 04729nam a22005053i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114577 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124612.0 |
| 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 | 240724s2013 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821898741 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821872949 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114577 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114577 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11041355 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922965005 |
| 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 | QA171.485 -- .P674 2012eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.3/5 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Lam, Thomas. |
| 245 10 - TITLE STATEMENT | |
| Title | Poset of k-Shapes and Branching Rules for k-Schur Functions. |
| 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 | 2013. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2012. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (113 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.223 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Abstract -- Chapter 1. Introduction -- 1.1. -Schur functions and branching coefficients -- 1.2. The poset of -shapes -- 1.3. -shape functions -- 1.4. Geometric meaning of branching coefficients -- 1.5. -branching polynomials and strong -tableaux -- 1.6. Tableaux atoms and bijection (1.20) -- 1.7. Connection with representation theory -- 1.8. Outline -- Acknowledgments -- Chapter 2. The poset of -shapes -- 2.1. Partitions -- 2.2. -shapes -- 2.3. Strings -- 2.4. Moves -- 2.5. Poset structure on -shapes -- 2.6. String and move miscellany -- Chapter 3. Equivalence of paths in the poset of -shapes -- 3.1. Diamond equivalences -- 3.2. Elementary equivalences -- 3.3. Mixed elementary equivalence -- 3.4. Interfering row moves and perfections -- 3.5. Row elementary equivalence -- 3.6. Column elementary equivalence -- 3.7. Diamond equivalences are generated by elementary equivalences -- 3.8. Proving properties of mixed equivalence -- 3.9. Proving properties of row equivalence -- 3.10. Proofs of Lemma 3.18 and Lemma 3.19 -- Chapter 4. Strips and tableaux for -shapes -- 4.1. Strips for cores -- 4.2. Strips for -shapes -- 4.3. Maximal strips and tableaux -- 4.4. Elementary properties of \ _{\ }^{( )}[ ] and \ _{\ }^{( )}[ ] -- 4.5. Basics on strips -- 4.6. Augmentation of strips -- 4.7. Maximal strips for cores -- 4.8. Equivalence of maximal augmentation paths -- 4.9. Canonical maximization of a strip -- Chapter 5. Pushout of strips and row moves -- 5.1. Reasonableness -- 5.2. Contiguity -- 5.3. Interference of strips and row moves -- 5.4. Row-type pushout: non-interfering case -- 5.5. Row-type pushout: interfering case -- 5.6. Alternative description of pushouts (row moves) -- Chapter 6. Pushout of strips and column moves -- 6.1. Reasonableness -- 6.2. Normality -- 6.3. Contiguity. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6.4. Interference of strips and column moves -- 6.5. Column-type pushout: non-interfering case -- 6.6. Column-type pushout: interfering case -- 6.7. Alternative description of pushouts (column moves) -- Chapter 7. Pushout sequences -- 7.1. Canonical pushout sequence -- 7.2. Pushout sequences from ( , ) are equivalent -- Chapter 8. Pushouts of equivalent paths are equivalent -- 8.1. Pushout of equivalences -- 8.2. Commuting cube (non-degenerate case) -- 8.3. Commuting cube (degenerate case =∅) -- 8.4. Commuting cube (degenerate case =∅) -- 8.5. Commuting cube (degenerate case =∅) -- Chapter 9. Pullbacks -- 9.1. Equivalences in the reverse case -- 9.2. Reverse operations on strips -- 9.3. Pullback of strips and moves -- 9.4. Pullbacks sequences are all equivalent -- 9.5. Pullbacks of equivalent paths are equivalent -- 9.6. Pullbacks are inverse to pushouts -- Appendix A. Tables of branching polynomials -- 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 | Partially ordered sets. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Schur functions. |
| 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 | Poset of k-Shapes and Branching Rules for k-Schur Functions |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2013 |
| International Standard Book Number | 9780821872949 |
| 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=3114577">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114577</a> |
| Public note | Click to View |
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