Positivity of Schubert Coefficients
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916543381635072 |
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| author | Pak, Igor Robichaux, Colleen |
| author_facet | Pak, Igor Robichaux, Colleen |
| contents | Schubert coefficients $c_{u,v}^w$ are structure constants describing multiplication of Schubert polynomials. Deciding positivity of Schubert coefficients is a major open problem in Algebraic Combinatorics. We prove a positive rule for this problem based on two standard assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18984 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Positivity of Schubert Coefficients Pak, Igor Robichaux, Colleen Combinatorics Computational Complexity Discrete Mathematics History and Overview Primary: 05E14, Secondary: 05E05, 14M15, 14N15, 68Q05, 68Q15, 68Q25 Schubert coefficients $c_{u,v}^w$ are structure constants describing multiplication of Schubert polynomials. Deciding positivity of Schubert coefficients is a major open problem in Algebraic Combinatorics. We prove a positive rule for this problem based on two standard assumptions. |
| title | Positivity of Schubert Coefficients |
| topic | Combinatorics Computational Complexity Discrete Mathematics History and Overview Primary: 05E14, Secondary: 05E05, 14M15, 14N15, 68Q05, 68Q15, 68Q25 |
| url | https://arxiv.org/abs/2412.18984 |