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The poset of k-shapes and branching rules for k-Schur functions /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Lam, Thomas, 1980- (Autor), Lapointe, Luc, 1970- (Autor), Morse, Jennifer, 1971- (Autor), Shimozono, Mark (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [2013]
Colección:Memoirs of the American Mathematical Society ; no. 1050.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Lam, Thomas,  |d 1980-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjFmwHYtBGccM63r37KxcP 
245 1 4 |a The poset of k-shapes and branching rules for k-Schur functions /  |c Thomas Lam, Luc Lapointe, Jennifer Morse, Mark Shimozono. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c [2013] 
264 4 |c ©2012 
300 |a 1 online resource (v, 101 pages) :  |b illustrations (some color). 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v number 1050 
500 |a "May 2013, Volume 223, Number 1050 (fourth of 5 numbers)." 
504 |a Includes bibliographical references (page 101) and index. 
588 0 |a Print version record. 
505 0 |a ""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"" 
505 8 |a ""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"" 
505 8 |a ""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"" 
505 8 |a ""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""; ""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"" 
505 8 |a ""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 =â??)""; ""8.4. Commuting cube (degenerate case =â??)""; ""8.5. Commuting cube (degenerate case =â??)""; ""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"" 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Partially ordered sets. 
650 0 |a Schur functions. 
650 6 |a Ensembles partiellement ordonnés. 
650 6 |a Fonctions de Schur. 
650 7 |a MATHEMATICS  |x Geometry  |x General.  |2 bisacsh 
650 7 |a Partially ordered sets  |2 fast 
650 7 |a Schur functions  |2 fast 
700 1 |a Lapointe, Luc,  |d 1970-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjx66kjHRQb77by6xRY3wC 
700 1 |a Morse, Jennifer,  |d 1971-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjHkYkhwFJFR7GJ6hXMmq3 
700 1 |a Shimozono, Mark,  |e author. 
758 |i has work:  |a The poset of k-shapes and branching rules for k-Schur functions (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCFMFGDTKmWXT7YQfFRBjJC  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Lam, Thomas, 1980-  |t Poset of K-shapes and branching rules for K-Schur functions  |z 9780821872949  |w (DLC) 2012051373  |w (OCoLC)827082873 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1050. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114577  |z Texto completo 
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