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.
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
@article{10_4153_S0008439524000274,
author = {Niese, Elizabeth and Sundaram, Sheila and Willigenburg, Stephanie van and Wang, Shiyun},
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/}
}
TY - JOUR AU - Niese, Elizabeth AU - Sundaram, Sheila AU - Willigenburg, Stephanie van AU - Wang, Shiyun TI - Pieri rules for skew dual immaculate functions JO - Canadian mathematical bulletin PY - 2024 SP - 902 EP - 914 VL - 67 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000274/ DO - 10.4153/S0008439524000274 ID - 10_4153_S0008439524000274 ER -
%0 Journal Article %A Niese, Elizabeth %A Sundaram, Sheila %A Willigenburg, Stephanie van %A Wang, Shiyun %T Pieri rules for skew dual immaculate functions %J Canadian mathematical bulletin %D 2024 %P 902-914 %V 67 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000274/ %R 10.4153/S0008439524000274 %F 10_4153_S0008439524000274
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