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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.02213 |
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| _version_ | 1866912257698430976 |
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| author | Wang, Zhentao Xie, Jiawen Zhang, Xuhang |
| author_facet | Wang, Zhentao Xie, Jiawen Zhang, Xuhang |
| contents | M. Kapranov and V. Schechtman introduced the contingency metamatrix for a finite Coxeter group and conjectured that the contingency metamatrix is totally positive. For the Coxeter groups of type $A$, this conjecture has been proved by P. Etingof. In this article, we prove this conjecture for the Coxeter groups of type $B$ and exceptional types. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02213 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Total Positivity of Contingency Metamatrices Wang, Zhentao Xie, Jiawen Zhang, Xuhang Combinatorics Group Theory M. Kapranov and V. Schechtman introduced the contingency metamatrix for a finite Coxeter group and conjectured that the contingency metamatrix is totally positive. For the Coxeter groups of type $A$, this conjecture has been proved by P. Etingof. In this article, we prove this conjecture for the Coxeter groups of type $B$ and exceptional types. |
| title | On the Total Positivity of Contingency Metamatrices |
| topic | Combinatorics Group Theory |
| url | https://arxiv.org/abs/2503.02213 |