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0-Hecke algebra actions on coinvariants and flags

Abstract : 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.
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Jia Huang. 0-Hecke algebra actions on coinvariants and flags. 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.505-516. ⟨hal-01215048⟩

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