Abstract
For each skew shape we define a nonhomogeneous symmetric function, generalizing a construction of Pak and Postnikov [9]. In two special cases, we show that the coefficients of this function when expanded in the complete homogeneous basis are given in terms of the (reduced) type of k-divisible noncrossing partitions. Our work extends Haiman's notion of a parking function symmetric function [5, 10].
| Original language | English |
|---|---|
| Pages (from-to) | 1-12 |
| Number of pages | 12 |
| Journal | Electronic Journal of Combinatorics |
| Volume | 15 |
| Issue number | 1 |
| Publication status | Published - 2008 Nov 30 |
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ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics
- Applied Mathematics
Cite this
Armstrong, D., & Eu, S. P. (2008). Nonhomogeneous parking functions and noncrossing partitions. Electronic Journal of Combinatorics, 15(1), 1-12.