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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.14538 |
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| _version_ | 1866914016362758144 |
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| author | Robichaux, Colleen |
| author_facet | Robichaux, Colleen |
| contents | We give a minimal counterexample for a conjecture of Ross and Yong (2015) which proposes a K-Kohnert rule for Grothendieck polynomials. We conjecture a revised version of this rule. We then prove both rules hold in the $321$-avoiding case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14538 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A counterexample to the Ross--Yong conjecture for Grothendieck polynomials Robichaux, Colleen Combinatorics We give a minimal counterexample for a conjecture of Ross and Yong (2015) which proposes a K-Kohnert rule for Grothendieck polynomials. We conjecture a revised version of this rule. We then prove both rules hold in the $321$-avoiding case. |
| title | A counterexample to the Ross--Yong conjecture for Grothendieck polynomials |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2403.14538 |