Skew Pieri Rules for Hall-Littlewood Functions
classification
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math.RAmath.RT
keywords
skewfirstfunctionsidentitypierirulesalgebraicantipode
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We produce skew Pieri Rules for Hall--Littlewood functions in the spirit of Assaf and McNamara. The first two were conjectured by the first author. 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.
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