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Linear extension sums as valuations on cones

Journal of Algebraic Combinatorics (2012) 35(4) 573-610
DOI: 10.1007/s10801-011-0316-2
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Abstract

The geometric and algebraic theory of valuations on cones is applied to understand identities involving summing certain rational functions over the set of linear extensions of a poset. © Springer Science+Business Media, LLC 2011.

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Boussicault, A., Féray, V., Lascoux, A., & Reiner, V. (2012). Linear extension sums as valuations on cones. Journal of Algebraic Combinatorics, 35(4), 573–610. https://doi.org/10.1007/s10801-011-0316-2

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