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The m/n Pieri rule (1407.5303v5)
Published 20 Jul 2014 in math.CO and math.QA
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 rational number m/n, we study the relationship between the rational 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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