Rectangular Symmetries for Coefficients of Symmetric Functions

Emmanuel Briand, Rosa Orellana, Mercedes Rosas

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.


Keywords


Littlewood-Richardson coefficients; Kronecker coefficients; plethysm coefficients; Kostka–Foulkes polynomials

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