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Rectangular symmetries for coefficients of symmetric functions
Published 29 Oct 2014 in math.CO | (1410.8017v1)
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.
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