Pieri rules for skew dual immaculate functions

Pieri rules for skew dual immaculate functions

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 (...

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Veröffentlicht in:Canadian mathematical bulletin 2024-12, Vol.67 (4), p.902-914
Hauptverfasser: Niese, Elizabeth, Sundaram, Sheila, van Willigenburg, Stephanie, Wang, Shiyun
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Combinatorics
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Zusammenfassung: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.
ISSN:0008-4395
1496-4287
DOI:10.4153/S0008439524000274