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

Access to Document

10.37236/870

Fingerprint Dive into the research topics of 'Nonhomogeneous parking functions and noncrossing partitions'. Together they form a unique fingerprint.

Cite this

@article{6fd53c573fc54a38851b9a51f73de7fe,

title = "Nonhomogeneous parking functions and noncrossing partitions",

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].",

author = "Drew Armstrong and Eu, {Sen Peng}",

year = "2008",

month = nov,

day = "30",

doi = "10.37236/870",

language = "English",

volume = "15",

pages = "1--12",

journal = "Electronic Journal of Combinatorics",

issn = "1077-8926",

publisher = "Electronic Journal of Combinatorics",

number = "1",

}

TY - JOUR

T1 - Nonhomogeneous parking functions and noncrossing partitions

AU - Armstrong, Drew

AU - Eu, Sen Peng

PY - 2008/11/30

Y1 - 2008/11/30

N2 - 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].

AB - 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].

UR - http://www.scopus.com/inward/record.url?scp=57649119913&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=57649119913&partnerID=8YFLogxK

U2 - 10.37236/870

DO - 10.37236/870

M3 - Article

AN - SCOPUS:57649119913

VL - 15

SP - 1

EP - 12

JO - Electronic Journal of Combinatorics

JF - Electronic Journal of Combinatorics

SN - 1077-8926

IS - 1

ER -