The m/n Pieri rule
Abstract
The Pieri rule is an important theorem which explains how the operators ek of multiplication by elementary symmetric functions act in the basis of Schur functions slambda. In this paper, for any rational number m/n, we study the relationship between the rational version ekm/n of the operators (given by the elliptic Hall algebra) and the "rational" version slambdam/n of the basis (given by the Maulik-Okounkov stable basis construction)
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