0-Hecke algebra actions on coinvariants and flags
نویسنده
چکیده
By investigating the action of the 0-Hecke algebra on the coinvariant algebra and the complete flag variety, we interpret generating functions counting the permutations with fixed inverse descent set by their inversion number and major index. Résumé. En étudiant l’action de l’algèbre de 0-Hecke sur l’algèbre coinvariante et la variété de drapeaux complète, nous interprétons les fonctions génératrices qui comptent les permutations avec un ensemble inverse de descentes fixé, selon leur nombre d’inversions et leur “major index”.
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