A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions
International audience We establish several properties of an algorithm defined by Mason and Remmel (2010) which inserts a positive integer into a row-strict composition tableau. These properties lead to a Littlewood-Richardson type rule for expanding the product of a row-strict quasisymmetric Schur...
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ftccsdartic:oai:HAL:hal-01215113v1 2023-05-15T16:49:32+02:00 A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions Ferreira, Jeffrey Department of Mathematics Davis University of California Davis (UC Davis) University of California-University of California Bousquet-Mélou Mireille and Wachs Michelle and Hultman Axel Reykjavik, Iceland 2011 https://hal.inria.fr/hal-01215113 https://hal.inria.fr/hal-01215113/document https://hal.inria.fr/hal-01215113/file/dmAO0130.pdf en eng HAL CCSD Discrete Mathematics and Theoretical Computer Science DMTCS hal-01215113 https://hal.inria.fr/hal-01215113 https://hal.inria.fr/hal-01215113/document https://hal.inria.fr/hal-01215113/file/dmAO0130.pdf info:eu-repo/semantics/OpenAccess ISSN: 1462-7264 EISSN: 1365-8050 Discrete Mathematics and Theoretical Computer Science 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) https://hal.inria.fr/hal-01215113 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.329-338 Littlewood-Richardson rule quasisymmetric function Schur function [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] info:eu-repo/semantics/conferenceObject Conference papers 2011 ftccsdartic 2020-12-25T18:15:03Z International audience We establish several properties of an algorithm defined by Mason and Remmel (2010) which inserts a positive integer into a row-strict composition tableau. These properties lead to a Littlewood-Richardson type rule for expanding the product of a row-strict quasisymmetric Schur function and a symmetric Schur function in terms of row-strict quasisymmetric Schur functions. Nous établissons plusieurs propriétés d'un algorithme défini par Mason et Remmel (2010), qui insère un entier positif dans un tableau dont la forme est une composition, avec ordre strict sur les lignes (row-strict). Ces propriétés conduisent à une règle de type Littlewood-Richardson pour étendre le produit d'une fonction de Schur quasi-symétrique "row-strict'' et d'une fonction de Schur symétrique en termes de fonctions de Schur quasi-symétriques "row-strict''. Conference Object Iceland Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
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Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
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ftccsdartic |
language |
English |
topic |
Littlewood-Richardson rule quasisymmetric function Schur function [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] |
spellingShingle |
Littlewood-Richardson rule quasisymmetric function Schur function [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] Ferreira, Jeffrey A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions |
topic_facet |
Littlewood-Richardson rule quasisymmetric function Schur function [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] |
description |
International audience We establish several properties of an algorithm defined by Mason and Remmel (2010) which inserts a positive integer into a row-strict composition tableau. These properties lead to a Littlewood-Richardson type rule for expanding the product of a row-strict quasisymmetric Schur function and a symmetric Schur function in terms of row-strict quasisymmetric Schur functions. Nous établissons plusieurs propriétés d'un algorithme défini par Mason et Remmel (2010), qui insère un entier positif dans un tableau dont la forme est une composition, avec ordre strict sur les lignes (row-strict). Ces propriétés conduisent à une règle de type Littlewood-Richardson pour étendre le produit d'une fonction de Schur quasi-symétrique "row-strict'' et d'une fonction de Schur symétrique en termes de fonctions de Schur quasi-symétriques "row-strict''. |
author2 |
Department of Mathematics Davis University of California Davis (UC Davis) University of California-University of California Bousquet-Mélou Mireille and Wachs Michelle and Hultman Axel |
format |
Conference Object |
author |
Ferreira, Jeffrey |
author_facet |
Ferreira, Jeffrey |
author_sort |
Ferreira, Jeffrey |
title |
A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions |
title_short |
A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions |
title_full |
A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions |
title_fullStr |
A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions |
title_full_unstemmed |
A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions |
title_sort |
littlewood-richardson type rule for row-strict quasisymmetric schur functions |
publisher |
HAL CCSD |
publishDate |
2011 |
url |
https://hal.inria.fr/hal-01215113 https://hal.inria.fr/hal-01215113/document https://hal.inria.fr/hal-01215113/file/dmAO0130.pdf |
op_coverage |
Reykjavik, Iceland |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
ISSN: 1462-7264 EISSN: 1365-8050 Discrete Mathematics and Theoretical Computer Science 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) https://hal.inria.fr/hal-01215113 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.329-338 |
op_relation |
hal-01215113 https://hal.inria.fr/hal-01215113 https://hal.inria.fr/hal-01215113/document https://hal.inria.fr/hal-01215113/file/dmAO0130.pdf |
op_rights |
info:eu-repo/semantics/OpenAccess |
_version_ |
1766039665691852800 |