Five-Term Relations for wreath Macdonald polynomials and tableau formulas for Pieri coefficients
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913935533277184 |
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| author | Romero, Marino Wen, Joshua Jeishing |
| author_facet | Romero, Marino Wen, Joshua Jeishing |
| contents | We present a variety of new identities involving operators in the theory of wreath Macdonald polynomials. One such family of identities gives five-term relations, analogous to the one given by Garsia and Mellit for the modified Macdonald polynomials. As a consequence, we generate tableau formulas for wreath Macdonald Pieri coefficients, which give an incredibly quick way of computing their monomial expansions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_15606 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Five-Term Relations for wreath Macdonald polynomials and tableau formulas for Pieri coefficients Romero, Marino Wen, Joshua Jeishing Combinatorics Quantum Algebra Representation Theory Primary: 05E05, 05E10, 33D52 Secondary: 81R10 We present a variety of new identities involving operators in the theory of wreath Macdonald polynomials. One such family of identities gives five-term relations, analogous to the one given by Garsia and Mellit for the modified Macdonald polynomials. As a consequence, we generate tableau formulas for wreath Macdonald Pieri coefficients, which give an incredibly quick way of computing their monomial expansions. |
| title | Five-Term Relations for wreath Macdonald polynomials and tableau formulas for Pieri coefficients |
| topic | Combinatorics Quantum Algebra Representation Theory Primary: 05E05, 05E10, 33D52 Secondary: 81R10 |
| url | https://arxiv.org/abs/2505.15606 |