A determinant-like formula for the Kostka numbers
Combinatorics
2007-05-23 v2 Representation Theory
Abstract
Young tableaux are ubiquitous in various branches of mathematics. There are two counting formulas for standard Young tableaux. The first involves a determinant and goes back to Frobenius and Young, and the second is the hook formula by Frame, Robinson and Thrall. We present a generalization of the determinant formula for semistandard Young tableaux of given shape and of given content. Our counting formula -- though not a determinant -- is a generalization of the determinant formula by Frobenius and Young.
Cite
@article{arxiv.math/0501132,
title = {A determinant-like formula for the Kostka numbers},
author = {Mathias Lederer},
journal= {arXiv preprint arXiv:math/0501132},
year = {2007}
}
Comments
12 pages