[Représentations du groupe symétrique et ]
Nous discutons les implications de l'énoncé suivant en théorie des représentations des groupes symétriques : tout entier apparaît une infinité de fois comme valeur d'un caractère irréductible, et tout entier positif ou nul apparaît une infinité de fois comme coefficient de Littlewood–Richardson et comme coefficient de Kronecker.
We discuss implications of the following statement about representation theory of symmetric groups: every integer appears infinitely often as an irreducible character evaluation and every nonnegative integer appears infinitely often as a Littlewood–Richardson coefficient and as a Kronecker coefficient.
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@article{CRMATH_2018__356_1_1_0,
author = {Adve, Anshul and Yong, Alexander},
title = {Symmetric group representations and $ \mathbb{Z}$},
journal = {Comptes Rendus. Math\'ematique},
pages = {1--4},
publisher = {Elsevier},
volume = {356},
number = {1},
year = {2018},
doi = {10.1016/j.crma.2017.11.009},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2017.11.009/}
}
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AU - Adve, Anshul
AU - Yong, Alexander
TI - Symmetric group representations and $ \mathbb{Z}$
JO - Comptes Rendus. Mathématique
PY - 2018
SP - 1
EP - 4
VL - 356
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PB - Elsevier
UR - http://archive.numdam.org/articles/10.1016/j.crma.2017.11.009/
DO - 10.1016/j.crma.2017.11.009
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ID - CRMATH_2018__356_1_1_0
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Adve, Anshul; Yong, Alexander. Symmetric group representations and $ \mathbb{Z}$. Comptes Rendus. Mathématique, Tome 356 (2018) no. 1, pp. 1-4. doi : 10.1016/j.crma.2017.11.009. http://archive.numdam.org/articles/10.1016/j.crma.2017.11.009/
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