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- Publisher
- Springer Journals
- Copyright
- Copyright © 2016 by Springer Science+Business Media Dordrecht
- Subject
- Mathematics; Geometry; Number Theory
- ISSN
- 0167-8094
- eISSN
- 1572-9273
- DOI
- 10.1007/s11083-016-9417-9
- Publisher site
- See Article on Publisher Site
Abstract
The symmetric group S n $\mathfrak {S}_{n}$ 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 S n $\mathfrak {S}_{n}$ 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.
Journal
Order – Springer Journals
Published: Nov 25, 2016