Lattice Path Enumeration and Its Applications in Representation Theory
Combinatorics
2017-08-24 v1
Abstract
In this paper, we enumerate lattice paths with certain constraints and apply the corresponding results to develop formulas for calculating the dimensions of submodules of a class of modules for planar upper triangular rook monoids. In particular, we show that the famous Catalan numbers appear as the dimensions of some special modules; we also obtain some combinatorial identities
Keywords
Cite
@article{arxiv.1708.07003,
title = {Lattice Path Enumeration and Its Applications in Representation Theory},
author = {Jianqiang Feng and Wenli Liu and Ximei Bai and Zhenheng Li},
journal= {arXiv preprint arXiv:1708.07003},
year = {2017}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1610.04122