The monomial expansion formula for Hall-Littlewood $P$-polynomials
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911963539308544 |
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| author | Bhattacharya, Aritra |
| author_facet | Bhattacharya, Aritra |
| contents | We give a Hecke algebra derivation of Macdonald's expansion formula for Hall-Littlewood polynomials in terms of semistandard Young tableaux. This is accomplished by first obtaining a Hecke algebra lift of the expansion coefficients and then proving a generalization of Klostermann's recursions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14652 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The monomial expansion formula for Hall-Littlewood $P$-polynomials Bhattacharya, Aritra Combinatorics Representation Theory 05E05, 33D52 We give a Hecke algebra derivation of Macdonald's expansion formula for Hall-Littlewood polynomials in terms of semistandard Young tableaux. This is accomplished by first obtaining a Hecke algebra lift of the expansion coefficients and then proving a generalization of Klostermann's recursions. |
| title | The monomial expansion formula for Hall-Littlewood $P$-polynomials |
| topic | Combinatorics Representation Theory 05E05, 33D52 |
| url | https://arxiv.org/abs/2407.14652 |