The m/n Pieri rule

2014/07/20 by Andrei Neguţ, Neguţ, Andrei
Business, Management and Accounting · #Combinatorics (math.CO) #FOS: Mathematics #Law, logistics, and international trade #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1407.5303

openalex publication_date 2014/07/20 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

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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