Briand, Emmanuel and Orellana, Rosa and Rosas, Mercedes
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Invariance properties for coefficients of symmetric functions
dmtcs:2464 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2015,
DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Invariance properties for coefficients of symmetric functions
Authors: Briand, Emmanuel and Orellana, Rosa and Rosas, Mercedes
We show that several of the main structural constants for symmetric functions (Littlewood-Richardsoncoefficients, Kronecker coefficients, plethysm coefficients, and the Kostka–Foulkes polynomials) share invarianceproperties related to the operations of taking complements with respect to rectangles and adding rectangles.