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Monomial nonnegativity and the Bruhat order

FPSAC Proceedings 2005 - 17th Annual International Conference on Formal Power Series and Algebraic Combinatorics (2005) 619-624
DOI: 10.37236/1875
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Abstract

We show that five nonnegativity properties of polynomials coincide when restricted to polynomials of the form x1; π (1) xn; π (n) - x1;σ(1) xn;σ(n), where π and σ are permutations in Sn. In particular, we show that each of these properties may be used to characterize the Bruhat order on Sn.

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APA

Drake, B., Gerrish, S., & Skandera, M. (2005). Monomial nonnegativity and the Bruhat order. In FPSAC Proceedings 2005 - 17th Annual International Conference on Formal Power Series and Algebraic Combinatorics (pp. 619–624). https://doi.org/10.37236/1875

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