Rectangular Symmetries for Coefficients of Symmetric Functions

  • Emmanuel Briand
  • Rosa Orellana
  • Mercedes Rosas
DOI: https://doi.org/10.37236/4808
Keywords: Littlewood-Richardson coefficients, Kronecker coefficients, plethysm coefficients, Kostka–Foulkes polynomials

Abstract

We show that some of the main structural constants for symmetric functions (Littlewood-Richardson coefficients, Kronecker coefficients, plethysm coefficients, and the Kostka–Foulkes polynomials) share symmetries related to the operations of taking complements with respect to rectangles and adding rectangles.

Published
2015-07-31
Issue
Volume 22, Issue 3 (2015)
Article Number
P3.15