An injection from standard fillings to parking functions
Document Type
Article
Publication Date
Summer 7-2012
Abstract
The Hilbert series of the Garsia-Haiman module can be written as a generating function of standard fillings
of Ferrers diagrams. It is conjectured by Haglund and Loehr that the Hilbert series of the diagonal harmonics can
be written as a generating function of parking functions. In this paper we present a weight-preserving injection from
standard fillings to parking functions for certain cases.
Recommended Citation
Neise, E., (2012, July). An injection from standard fillings to parking functions. In proceedings of FPSAC 2012, Nagoya, Japan. 697-708.
COinS
Comments
DMTCS Proceedings, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012). Open access to this conference paper is provided by DMTCS.org. Copyright © 2012 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France.