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arXiv · 1410.8017

Rectangular symmetries for coefficients of symmetric functions

Emmanuel Briand·Rosa Orellana·Mercedes Rosas
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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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Emmanuel Briand, Rosa Orellana, Mercedes Rosas. 2014-10-29. Rectangular symmetries for coefficients of symmetric functions. https://doi.org/10.37236/4808

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