Skew quantum Murnaghan-Nakayama rule
International audience In this extended abstract, we extend recent results of Assaf and McNamara, the skew Pieri rule and the skew Murnaghan-Nakayama rule, to a more general identity, which gives an elegant expansion of the product of a skew Schur function with a quantum power sum function in terms...
Main Author: | |
---|---|
Other Authors: | , , , , , , , |
Format: | Conference Object |
Language: | English |
Published: |
HAL CCSD
2011
|
Subjects: | |
Online Access: | https://hal.inria.fr/hal-01215046 https://hal.inria.fr/hal-01215046/document https://hal.inria.fr/hal-01215046/file/dmAO0152.pdf |
id |
ftccsdartic:oai:HAL:hal-01215046v1 |
---|---|
record_format |
openpolar |
spelling |
ftccsdartic:oai:HAL:hal-01215046v1 2023-05-15T16:50:13+02:00 Skew quantum Murnaghan-Nakayama rule Konvalinka, Matjaž Department of Mathematics (University of Ljubljana) University of Ljubljana Institute of Mathematics, Physics and Mechanics Ljubljana Institute of Mathematics, Physics and Mechanics Bousquet-Mélou Mireille and Wachs Michelle and Hultman Axel Reykjavik, Iceland 2011 https://hal.inria.fr/hal-01215046 https://hal.inria.fr/hal-01215046/document https://hal.inria.fr/hal-01215046/file/dmAO0152.pdf en eng HAL CCSD Discrete Mathematics and Theoretical Computer Science DMTCS hal-01215046 https://hal.inria.fr/hal-01215046 https://hal.inria.fr/hal-01215046/document https://hal.inria.fr/hal-01215046/file/dmAO0152.pdf info:eu-repo/semantics/OpenAccess ISSN: 1462-7264 EISSN: 1365-8050 Discrete Mathematics and Theoretical Computer Science Discrete Mathematics and Theoretical Computer Science (DMTCS) 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) https://hal.inria.fr/hal-01215046 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.587-598 Murnaghan-Nakayama rule Pieri rule skew tableaux Schur functions q-analogue [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 In this extended abstract, we extend recent results of Assaf and McNamara, the skew Pieri rule and the skew Murnaghan-Nakayama rule, to a more general identity, which gives an elegant expansion of the product of a skew Schur function with a quantum power sum function in terms of skew Schur functions. We give two proofs, one completely bijective in the spirit of Assaf-McNamara's original proof, and one via Lam-Lauve-Sotille's skew Littlewood-Richardson rule. Dans cet article nous élargissons le cadre de résultats récents de Assaf et McNamara, la règle dissymétrique de Pieri et la règle dissymétrique de Murnaghan-Nakayama, pour obtenir une identité plus générale donnant un développement élégant du produit de la fonction de Schur dissymétrique par une somme de puissances quantiques, en termes de fonctions de Schur dissymétriques. Nous donnons deux démonstrations, la première suivant l'approche de Assaf-McNamara et la deuxième par le biais de la règle dissymétrique de Littlewood-Richardson obtenue par Lam-Lauve-Sotille. Conference Object Iceland Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) Lauve ENVELOPE(13.199,13.199,66.803,66.803) |
institution |
Open Polar |
collection |
Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
op_collection_id |
ftccsdartic |
language |
English |
topic |
Murnaghan-Nakayama rule Pieri rule skew tableaux Schur functions q-analogue [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] |
spellingShingle |
Murnaghan-Nakayama rule Pieri rule skew tableaux Schur functions q-analogue [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] Konvalinka, Matjaž Skew quantum Murnaghan-Nakayama rule |
topic_facet |
Murnaghan-Nakayama rule Pieri rule skew tableaux Schur functions q-analogue [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] |
description |
International audience In this extended abstract, we extend recent results of Assaf and McNamara, the skew Pieri rule and the skew Murnaghan-Nakayama rule, to a more general identity, which gives an elegant expansion of the product of a skew Schur function with a quantum power sum function in terms of skew Schur functions. We give two proofs, one completely bijective in the spirit of Assaf-McNamara's original proof, and one via Lam-Lauve-Sotille's skew Littlewood-Richardson rule. Dans cet article nous élargissons le cadre de résultats récents de Assaf et McNamara, la règle dissymétrique de Pieri et la règle dissymétrique de Murnaghan-Nakayama, pour obtenir une identité plus générale donnant un développement élégant du produit de la fonction de Schur dissymétrique par une somme de puissances quantiques, en termes de fonctions de Schur dissymétriques. Nous donnons deux démonstrations, la première suivant l'approche de Assaf-McNamara et la deuxième par le biais de la règle dissymétrique de Littlewood-Richardson obtenue par Lam-Lauve-Sotille. |
author2 |
Department of Mathematics (University of Ljubljana) University of Ljubljana Institute of Mathematics, Physics and Mechanics Ljubljana Institute of Mathematics, Physics and Mechanics Bousquet-Mélou Mireille and Wachs Michelle and Hultman Axel |
format |
Conference Object |
author |
Konvalinka, Matjaž |
author_facet |
Konvalinka, Matjaž |
author_sort |
Konvalinka, Matjaž |
title |
Skew quantum Murnaghan-Nakayama rule |
title_short |
Skew quantum Murnaghan-Nakayama rule |
title_full |
Skew quantum Murnaghan-Nakayama rule |
title_fullStr |
Skew quantum Murnaghan-Nakayama rule |
title_full_unstemmed |
Skew quantum Murnaghan-Nakayama rule |
title_sort |
skew quantum murnaghan-nakayama rule |
publisher |
HAL CCSD |
publishDate |
2011 |
url |
https://hal.inria.fr/hal-01215046 https://hal.inria.fr/hal-01215046/document https://hal.inria.fr/hal-01215046/file/dmAO0152.pdf |
op_coverage |
Reykjavik, Iceland |
long_lat |
ENVELOPE(13.199,13.199,66.803,66.803) |
geographic |
Lauve |
geographic_facet |
Lauve |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
ISSN: 1462-7264 EISSN: 1365-8050 Discrete Mathematics and Theoretical Computer Science Discrete Mathematics and Theoretical Computer Science (DMTCS) 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) https://hal.inria.fr/hal-01215046 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.587-598 |
op_relation |
hal-01215046 https://hal.inria.fr/hal-01215046 https://hal.inria.fr/hal-01215046/document https://hal.inria.fr/hal-01215046/file/dmAO0152.pdf |
op_rights |
info:eu-repo/semantics/OpenAccess |
_version_ |
1766040391359922176 |