Pieri rules for skew dual immaculate functions
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866918136895242240 |
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| author | Niese, Elizabeth Sundaram, Sheila van Willigenburg, Stephanie Wang, Shiyun |
| author_facet | Niese, Elizabeth Sundaram, Sheila van Willigenburg, Stephanie Wang, Shiyun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_11297 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Pieri rules for skew dual immaculate functions Niese, Elizabeth Sundaram, Sheila van Willigenburg, Stephanie Wang, Shiyun Combinatorics 05E05, 05E10, 16T05, 16T30, 16W55 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. |
| title | Pieri rules for skew dual immaculate functions |
| topic | Combinatorics 05E05, 05E10, 16T05, 16T30, 16W55 |
| url | https://arxiv.org/abs/2212.11297 |