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- W2434308752 abstract "The symmetric group $mathfrak {S}_{n}$ acts naturally on the poset of injective words over the alphabet {1, 2,…,n}. The induced representation on the homology of this poset has been computed by Reiner and Webb. We generalize their result by computing the representation of $mathfrak {S}_{n}$ on the homology of all rank-selected subposets, in the sense of Stanley. A further generalization to the poset of r-colored injective words is given." @default.
- W2434308752 created "2016-06-24" @default.
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- W2434308752 date "2016-11-25" @default.
- W2434308752 modified "2023-09-27" @default.
- W2434308752 title "The Symmetric Group Action on Rank-selected Posets of Injective Words" @default.
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- W2434308752 doi "https://doi.org/10.1007/s11083-016-9417-9" @default.
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