Jack characters and enumeration of maps
Combinatorics
2017-09-11 v1
Abstract
Jack characters provide dual information about Jack symmetric functions. We give explicit formulas for the top-degree part of these Jack characters in terms of bicolored oriented maps with an arbitrary face structure.
Cite
@article{arxiv.1611.02446,
title = {Jack characters and enumeration of maps},
author = {Agnieszka Czyżewska-Jankowska and Piotr Śniady},
journal= {arXiv preprint arXiv:1611.02446},
year = {2017}
}
Comments
12 pages; initial submission of an "extended abstract" for the conference FPSAC 2017. Overview of the preprints arXiv:1506.06361 and arXiv:1611.02012