Emmanuel Briand ; Rosa Orellana ; Mercedes Rosas
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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)
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https://doi.org/10.46298/dmtcs.2464
Invariance properties for coefficients of symmetric functionsArticle
Authors: Emmanuel Briand 1; Rosa Orellana 2; Mercedes Rosas 3
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Emmanuel Briand;Rosa Orellana;Mercedes Rosas
1 Department of Applied Mathematics I [Sevilla]
2 Department of Mathematics [Dartmouth]
3 Departamento de Algebra [Sevilla]
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.