Abstract
We produce skew Pieri Rules for Hall–Littlewood functions in the spirit of Assaf and McNamara (FPSAC, 2010). The first two were conjectured by the first author (FPSAC, 2011). The key ingredients in the proofs are a q-binomial identity for skew partitions that are horizontal strips and a Hopf algebraic identity that expands products of skew elements in terms of the coproduct and antipode. Nous produisons quelques règles dissymètrique de Pieri pour les fonctions Hall–Littlewood au sens de Assaf et McNamara (FPSAC, 2010). Les premières deux règles ont ètè conjecturèe par le premier auteur (FPSAC, 2011). Les principaux ingrèdients dans les preuves sont une identitè q-binomiale pour les partitions dissymètrique qui sont bandes horizontales et une identitè de Hopf qui exprime les produits d'èlèments dissymètrique en termes du coproduit et de l'antipode.
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