What is Schur positivity and how common is it?
classification
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schurpositivepositivityappearauthorbergeroncoefficientscommon
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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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