Signed puzzles for Schubert coefficients
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912345074171904 |
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| author | Pak, Igor Robichaux, Colleen |
| author_facet | Pak, Igor Robichaux, Colleen |
| contents | We give a signed puzzle rule to compute Schubert coefficients. The rule is based on a careful analysis of Knutson's recurrence arXiv:math/0306304. We use the rule to prove polynomiality of the sums of Schubert coefficients with bounded number of inversions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17734 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Signed puzzles for Schubert coefficients Pak, Igor Robichaux, Colleen Combinatorics Primary 05E14, Secondary 05B45, 05E05, 52B20 We give a signed puzzle rule to compute Schubert coefficients. The rule is based on a careful analysis of Knutson's recurrence arXiv:math/0306304. We use the rule to prove polynomiality of the sums of Schubert coefficients with bounded number of inversions. |
| title | Signed puzzles for Schubert coefficients |
| topic | Combinatorics Primary 05E14, Secondary 05B45, 05E05, 52B20 |
| url | https://arxiv.org/abs/2504.17734 |