Pieri rules for skew dual immaculate functions
Canadian mathematical bulletin, Tome 67 (2024) no. 4, pp. 902-914

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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.
DOI : 10.4153/S0008439524000274
Mots-clés : Dual immaculate function, Hopf algebra, Pieri rule, row-strict, skew function
Niese, Elizabeth; Sundaram, Sheila; Willigenburg, Stephanie van; Wang, Shiyun. Pieri rules for skew dual immaculate functions. Canadian mathematical bulletin, Tome 67 (2024) no. 4, pp. 902-914. doi: 10.4153/S0008439524000274
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     title = {Pieri rules for skew dual immaculate functions},
     journal = {Canadian mathematical bulletin},
     pages = {902--914},
     year = {2024},
     volume = {67},
     number = {4},
     doi = {10.4153/S0008439524000274},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000274/}
}
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