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