ec 2 00 4 SOME POSITIVE DIFFERENCES OF PRODUCTS OF SCHUR FUNCTIONS

Abstract

The product sμsν of two Schur functions is one of the most famous examples of a Schur-positive function, i.e. a symmetric function which, when written as a linear combination of Schur functions, has all positive coefficients. We ask when expressions of the form sλsρ − sμsν are Schur-positive. This general question seems to be a difficult one, but a… (More)

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