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The Pelletier--Ressayre hidden symmetry for Littlewood--Richardson coefficients

  • Author(s): Grinberg, Darij
  • et al.

Published Web Location

https://doi.org/10.5070/C61055382Creative Commons 'BY' version 4.0 license
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

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