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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.05531 |
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| _version_ | 1866929353040855040 |
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| author | Botta, Tommaso Maria Foster, Alexander O. Rimanyi, Richard |
| author_facet | Botta, Tommaso Maria Foster, Alexander O. Rimanyi, Richard |
| contents | The combinatorially and the geometrically defined partial orders on the set of permutations coincide. We extend this result to $(0,1)$-matrices with fixed row and column sums. Namely, the Bruhat order induced by the geometry of a Cherkis bow variety of type A coincides with one of the two combinatorially defined Bruhat orders on the same set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_05531 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Geometric Bruhat order on (0,1)-matrices Botta, Tommaso Maria Foster, Alexander O. Rimanyi, Richard Combinatorics High Energy Physics - Theory Algebraic Geometry The combinatorially and the geometrically defined partial orders on the set of permutations coincide. We extend this result to $(0,1)$-matrices with fixed row and column sums. Namely, the Bruhat order induced by the geometry of a Cherkis bow variety of type A coincides with one of the two combinatorially defined Bruhat orders on the same set. |
| title | Geometric Bruhat order on (0,1)-matrices |
| topic | Combinatorics High Energy Physics - Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2311.05531 |