Shuffle approach to wreath Pieri operators
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908536110317568 |
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| author | Wen, Joshua Jeishing |
| author_facet | Wen, Joshua Jeishing |
| contents | We describe a way to study and compute Pieri rules for wreath Macdonald polynomials using the quantum toroidal algebra. The Macdonald pairing can be naturally generalized to the wreath setting, but the wreath Macdonald polynomials are no longer collinear with their duals. We establish the relationship between these dual polynomials and the quantum toroidal algebra, and we outline a way to compute norm formulas. None of the aforementioned formulas are successfully computed in this paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06007 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shuffle approach to wreath Pieri operators Wen, Joshua Jeishing Quantum Algebra Combinatorics Representation Theory Primary: 05E05, 17B37, Secondary: 81R10 We describe a way to study and compute Pieri rules for wreath Macdonald polynomials using the quantum toroidal algebra. The Macdonald pairing can be naturally generalized to the wreath setting, but the wreath Macdonald polynomials are no longer collinear with their duals. We establish the relationship between these dual polynomials and the quantum toroidal algebra, and we outline a way to compute norm formulas. None of the aforementioned formulas are successfully computed in this paper. |
| title | Shuffle approach to wreath Pieri operators |
| topic | Quantum Algebra Combinatorics Representation Theory Primary: 05E05, 17B37, Secondary: 81R10 |
| url | https://arxiv.org/abs/2402.06007 |