Benedek Dombos

collaborators

2 papers

math.CO2025

$A_{1}^{(1)}$ -Grounded partitions at levels $1$ and $2$ , Part I: bijections

Benedek Dombos, Jihyeug Jang

Grounded partitions, introduced by Dousse and Konan, are coloured partitions satisfying difference conditions encoded by a matrix. For suitable choices of this matrix, their genera…

math.CO2024

A New Grounded Partition Identity of Type $D_{4}^{(3)}$

Benedek Dombos

In this paper, we prove a new Rogers-Ramanujan-type identity, involving grounded partitions, by computing a character of the affine Kac-Moody algebra $D_{4}^{(3)}$ in two different w…

A1(1)​-Grounded partitions at levels 1 and 2, Part I: bijections

A New Grounded Partition Identity of Type D4(3)​

$A_{1}^{(1)}$ -Grounded partitions at levels $1$ and $2$ , Part I: bijections

A New Grounded Partition Identity of Type $D_{4}^{(3)}$