The first term of plethysms
Combinatorics
2011-09-28 v2 Representation Theory
Abstract
Plethysm of two Schur functions can be expressed as a linear combination of Schur functions, and monomial symmetric functions. In this paper, we express the coefficients combinatorially in the case of monomial symmetric functions. And by using it, we determine the first term of the plethysm with respect to Schur functions under the reverse lexicographic order.
Cite
@article{arxiv.1108.4915,
title = {The first term of plethysms},
author = {Kazuto Iijima},
journal= {arXiv preprint arXiv:1108.4915},
year = {2011}
}
Comments
10 pages, 5 figures