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- W1750305697 abstract "It is known that the normalized volume of standard hypersimplices (defined as some slices of the unit hypercube) are the Eulerian numbers. More generally, a recent conjecture of Stanley relates the Ehrhart series of hypersimplices with descents and excedences in permutations. This conjecture was proved by Nan Li, who also gave a generalization to colored permutations. In this article, we give another generalization to colored permutations, using the flag statistics introduced by Foata and Han. We obtain in particular a new proof of Stanley's conjecture, and some combinatorial identities relating pairs of Eulerian statistics on colored permutations." @default.
- W1750305697 created "2016-06-24" @default.
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- W1750305697 date "2014-05-21" @default.
- W1750305697 modified "2023-09-27" @default.
- W1750305697 title "Flag statistics from the Ehrhart series of multi-hypersimplices" @default.
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