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 |
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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 |
Externally published | Yes |
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ASJC Scopus subject areas
- Geometry and Topology
- Theoretical Computer Science
- Computational Theory and Mathematics
Cite this
Nonhomogeneous parking functions and noncrossing partitions. / Armstrong, Drew; Eu, Sen Peng.
In: Electronic Journal of Combinatorics, Vol. 15, No. 1, 30.11.2008, p. 1-12.Research output: Contribution to journal › Article
}
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
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 -