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Rectangular symmetries for coefficients of symmetric functions


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Opened Access Rectangular symmetries for coefficients of symmetric functions
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Author: Briand, Emmanuel
Orellana, Rosa C.
Rosas Celis, Mercedes Helena
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2015
Published in: The Electronic Journal of Combinatorics, 22(3)
Document type: Article
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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