Geodesic
Skew Pieri rules for Hall-Littlewood functions
Journal of Algebraic Combinatorics, Tome 38 (2013) no. 3, pp. 499-518.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We produce skew Pieri rules for Hall-Littlewood functions in the spirit of Assaf and McNamara (J. Comb. Theory Ser. A $118(1)$:277-290, 2011). The first two were conjectured by the first author (Konvalinka in J. Algebraic Comb. $35(4)$:519-545, 2012). The key ingredients in the proofs are a q-binomial identity for skew partitions and a Hopf algebraic identity that expands products of skew elements in terms of the coproduct and the antipode.
Keywords: Pieri rules, Hall-Littlewood functions 
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     author = {Konvalinka, Matja\v{z} and Lauve, Aaron},
     title = {Skew {Pieri} rules for {Hall-Littlewood} functions},
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Konvalinka, Matjaž; Lauve, Aaron. Skew Pieri rules for Hall-Littlewood functions. Journal of Algebraic Combinatorics, Tome 38 (2013) no. 3, pp. 499-518. http://geodesic.mathdoc.fr/item/JAC_2013__38_3_a11/