On the Total Positivity of Contingency Metamatrices
Combinatorics
2025-03-05 v1 Group Theory
Abstract
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 , this conjecture has been proved by P. Etingof. In this article, we prove this conjecture for the Coxeter groups of type and exceptional types.
Keywords
Cite
@article{arxiv.2503.02213,
title = {On the Total Positivity of Contingency Metamatrices},
author = {Zhentao Wang and Jiawen Xie and Xuhang Zhang},
journal= {arXiv preprint arXiv:2503.02213},
year = {2025}
}