Title

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.

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.