What is Schur positivity and how common is it?
Combinatorics
2018-09-13 v1
Abstract
This is a short note about Schur positivity. We introduce Schur polynomials and explain how they appear in the representation theory of the general linear group. We end with a new result of the author with F. Bergeron and V. Reiner that gives the probability that a homogeneous symmetric polynomial with positive coefficients is Schur positive.
Cite
@article{arxiv.1809.04448,
title = {What is Schur positivity and how common is it?},
author = {Rebecca Patrias},
journal= {arXiv preprint arXiv:1809.04448},
year = {2018}
}
Comments
6 pages