Pieri rules for skew dual immaculate functions

Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg, Shiyun Wang
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Abstract

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.

斜对偶无懈可击函数的皮耶里规则
在本文中,我们给出了偏斜对偶无玷函数的皮耶里规则及其最近发现的行严格对应规则。我们使用 Lam-Lauve-Sottile 的 Hopf 矩阵的偏斜 Littlewood-Richardson 规则的右作用类似物来建立我们的规则。我们还得到了行严格(对偶)无玷函数的皮耶里规则。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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