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arxiv: 2212.11297 · v1 · pith:YCHGJ762new · submitted 2022-12-21 · 🧮 math.CO

Pieri rules for skew dual immaculate functions

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keywords rulesdualfunctionsimmaculatepieriskewrow-strictalgebras
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In this paper we give Pieri rules for skew dual immaculate functions and their recently discovered row-strict counterparts. We establish our rules using a right-action analogue of the skew Littlewood-Richardson rule for Hopf algebras of Lam-Lauve-Sottile. We also obtain Pieri rules for row-strict (dual) immaculate functions.

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