Skew Pieri rules for HallLittlewood functions
We produce skew Pieri rules for HallLittlewood functions in the spirit of Assaf and McNamara (J. Comb. Theory Ser. A 118(1):277290, 2011). The first two were conjectured by the first author (Konvalinka in J. Algebraic Comb. 35(4):519545, 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.
pieri rules halllittlewood functions