English

Generalization of Knuth's formula for the number of skew tableaux

Combinatorics 2016-01-05 v1

Abstract

We take an elementary approach to derive a generalization of Kunth's formula using Lassalle's explicit formula. In particular, we give a formula for the Kostka numbers of a shape μn\mu\vdash n and weight (m,1nm)(m,1^{n-m}) for m=3,  4m=3,\;4.

Keywords

Cite

@article{arxiv.1601.00384,
  title  = {Generalization of Knuth's formula for the number of skew tableaux},
  author = {Minwon Na},
  journal= {arXiv preprint arXiv:1601.00384},
  year   = {2016}
}