Abstract
AbstractThe plethystic Murnaghan–Nakayama rule describes how to decompose the product of a Schur function and a plethysm of the form $$p_r\circ h_m$$ p r ∘ h m as a sum of Schur functions. We provide a short, entirely combinatorial proof of this rule using the labelled abaci introduced in Loehr (SIAM J Discrete Math 24(4):1356–1370, 2010).
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