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Monomial Nonnegativity And The Bruhat Order, Brian Drake, Sean Gerrish, Mark Skandera
Monomial Nonnegativity And The Bruhat Order, Brian Drake, Sean Gerrish, Mark Skandera
Dartmouth Scholarship
We show that five nonnegativity properties of polynomials coincide when restricted to polynomials of the form x1, pi(1) ... xn,pi(n) - x1, sigma(1) ... xn, sigma(n), where $\pi and sigma are permutations in Sn. In particular, we show that each of these properties may be used to characterize the Bruhat order on Sn.