Type C parking functions and a zeta map
Combinatorics
2014-11-17 v1
Abstract
We introduce type C parking functions, encoded as vertically labelled lattice paths and endowed with a statistic dinv'. We define a bijection from type C parking functions to regions of the Shi arrangement of type C, encoded as diagonally labelled ballot paths and endowed with a natural statistic area'. This bijection is a natural analogue of the zeta map of Haglund and Loehr and maps dinv' to area'. We give three different descriptions of it.
Cite
@article{arxiv.1411.3885,
title = {Type C parking functions and a zeta map},
author = {Robin Sulzgruber and Marko Thiel},
journal= {arXiv preprint arXiv:1411.3885},
year = {2014}
}
Comments
12 pages