Runs and RSK tableaux of boolean permutations
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866910321899208704 |
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| author | Gunawan, Emily Pan, Jianping Russell, Heather M. Tenner, Bridget Eileen |
| author_facet | Gunawan, Emily Pan, Jianping Russell, Heather M. Tenner, Bridget Eileen |
| contents | We define and construct the "canonical reduced word" of a boolean permutation, and show that the RSK tableaux for that permutation can be read off directly from this reduced word. We also describe those tableaux that can correspond to boolean permutations, and enumerate them. In addition, we generalize a result of Mazorchuk and Tenner, showing that the "run" statistic influences the shape of the RSK tableau of arbitrary permutations, not just of those that are boolean. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_05119 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Runs and RSK tableaux of boolean permutations Gunawan, Emily Pan, Jianping Russell, Heather M. Tenner, Bridget Eileen Combinatorics Primary 05A05, Secondary 20F55, 06A07, 05A19 We define and construct the "canonical reduced word" of a boolean permutation, and show that the RSK tableaux for that permutation can be read off directly from this reduced word. We also describe those tableaux that can correspond to boolean permutations, and enumerate them. In addition, we generalize a result of Mazorchuk and Tenner, showing that the "run" statistic influences the shape of the RSK tableau of arbitrary permutations, not just of those that are boolean. |
| title | Runs and RSK tableaux of boolean permutations |
| topic | Combinatorics Primary 05A05, Secondary 20F55, 06A07, 05A19 |
| url | https://arxiv.org/abs/2207.05119 |