Necessary conditions for the positivity of Littlewood–Richardson and plethystic coefficients

We give necessary conditions for the positivity of Littlewood–Richardson coefficients and SXP coefficients. We deduce necessary conditions for the positivity of the plethystic coefficients. Explicitly, our main result states that if $S^\lambda (V)$ appears as a summand in the decomposition into irre...

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Bibliographic Details
Main Authors: Gutiérrez, Álvaro, Rosas, Mercedes H.
Format: Article
Language:English
Published: Académie des sciences 2023-10-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.468/
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