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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1912.05203 |
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| _version_ | 1866915800106926080 |
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| author | Alexandersson, Per Féray, Valentin |
| author_facet | Alexandersson, Per Féray, Valentin |
| contents | We consider Jack polynomials $J_λ$ and their shifted analogue $J^#_λ$. In 1989, Stanley conjectured that $\langle J_μJ_ν, J_λ\rangle$ is a polynomial with nonnegative coefficients in the parameter $α$. In this note, we extend this conjecture to the case of shifted Jack polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_05203 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A positivity conjecture on the structure constants of shifted Jack functions Alexandersson, Per Féray, Valentin Combinatorics We consider Jack polynomials $J_λ$ and their shifted analogue $J^#_λ$. In 1989, Stanley conjectured that $\langle J_μJ_ν, J_λ\rangle$ is a polynomial with nonnegative coefficients in the parameter $α$. In this note, we extend this conjecture to the case of shifted Jack polynomials. |
| title | A positivity conjecture on the structure constants of shifted Jack functions |
| topic | Combinatorics |
| url | https://arxiv.org/abs/1912.05203 |