The Smith Normal Form of a Matrix Associated with Young's Lattice
Combinatorics
2015-02-04 v1
Abstract
We prove a conjecture of Miller and Reiner on the Smith normal form of the operator associated with a differential poset for the special case of Young's lattice. Equivalently, this operator can be described as acting on homogeneous symmetric functions of degree .
Cite
@article{arxiv.1502.00922,
title = {The Smith Normal Form of a Matrix Associated with Young's Lattice},
author = {Tommy Wuxing Cai and Richard P. Stanley},
journal= {arXiv preprint arXiv:1502.00922},
year = {2015}
}
Comments
10 pages