Enumeration of diagonally colored Young diagrams
Combinatorics
2016-07-14 v3 Algebraic Geometry
Abstract
In this note we give a new proof of a closed formula for the multivariable generating series of diagonally colored Young diagrams. This series also describes the Euler characteristics of certain Nakajima quiver varieties. Our proof is a direct combinatorial argument, based on Andrews' work on generalized Frobenius partitions. We also obtain representations of these series in some particular cases as infinite products.
Keywords
Cite
@article{arxiv.1510.02677,
title = {Enumeration of diagonally colored Young diagrams},
author = {Ádám Gyenge},
journal= {arXiv preprint arXiv:1510.02677},
year = {2016}
}
Comments
Final version, 12 pages. To appear in Monatshefte f\"ur Mathematik