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What is Schur positivity and how common is it?

2018/09/12 by Patrias, Rebecca
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1809.04448

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.

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