Symmetric group representations and $ \mathbb{Z}$

Anshul Adve; Alexander Yong

doi:10.1016/j.crma.2017.11.009

Combinatorics/Algebra

Symmetric group representations and

Z

Presented by: Michèle Vergne

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

Comptes Rendus. Mathématique, Volume 356 (2018) no. 1, pp. 1-4.

Abstract
Résumé

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.

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.

Received: 2017-10-02
Accepted: 2017-11-10
Published online: 2017-12-06

DOI: 10.1016/j.crma.2017.11.009

Author's affiliations:

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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     title = {Symmetric group representations and $ \mathbb{Z}$},
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     pages = {1--4},
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     doi = {10.1016/j.crma.2017.11.009},
     language = {en},
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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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