Comptes Rendus
no. 1
Combinatorics/Algebra
Symmetric group representations and Z
[Représentations du groupe symétrique et Z]

Présenté par : Michèle Vergne

Anshul Adve1 ; Alexander Yong2
1 University Laboratory High School, Urbana, IL 61801, USA
2 Dept. of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
Comptes Rendus. Mathématique, Volume 356 (2018) no. 1, pp. 1-4.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.11.009
Anshul Adve 1 ; Alexander Yong 2

1 University Laboratory High School, Urbana, IL 61801, USA
2 Dept. of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA 
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Anshul Adve; Alexander Yong. Symmetric group representations and $ \mathbb{Z}$. Comptes Rendus. Mathématique, Volume 356 (2018) no. 1, pp. 1-4. doi : 10.1016/j.crma.2017.11.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.11.009/

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