On the Total Positivity of Contingency Metamatrices
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 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.
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