Geodesic
Linear extension sums as valuations on cones
Journal of Algebraic Combinatorics, Tome 35 (2012) no. 4, pp. 573-610.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Keywords: keywords poset, rational function identities, valuation of cones, lattice points, affine semigroup ring, Hilbert series, total residue, root system, weight lattice 
@article{JAC_2012__35_4_a3,
     author = {Boussicault, Adrien and F\'eray, Valentin and Lascoux, Alain and Reiner, Victor},
     title = {Linear extension sums as valuations on cones},
     journal = {Journal of Algebraic Combinatorics},
     pages = {573--610},
     publisher = {mathdoc},
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     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2012__35_4_a3/}
}
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Boussicault, Adrien; Féray, Valentin; Lascoux, Alain; Reiner, Victor. Linear extension sums as valuations on cones. Journal of Algebraic Combinatorics, Tome 35 (2012) no. 4, pp. 573-610. http://geodesic.mathdoc.fr/item/JAC_2012__35_4_a3/