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The Pelletier--Ressayre hidden symmetry for Littlewood--Richardson coefficients
Abstract
We prove an identity for Littlewood--Richardson coefficients conjectured by Pelletier and Ressayre. The proof relies on a novel birational involution defined over any semifield.
Keywords: Symmetric functions, Littlewood--Richardson coefficients, partitions, Schur functions, Schur polynomials, birational combinatorics, detropicalization, partitions.
Mathematics Subject Classifications: 05E05