Nonhomogeneous parking functions and noncrossing partitions

Drew Armstrong; Sen Peng Eu

doi:10.37236/870

Nonhomogeneous parking functions and noncrossing partitions

Drew Armstrong, Sen Peng Eu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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
DOIs	https://doi.org/10.37236/870
Publication status	Published - 2008 Nov 30

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Applied Mathematics

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10.37236/870

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Nonhomogeneous parking functions and noncrossing partitions

Abstract

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