Rectangular symmetries for coefficients of symmetric functions
The electronic journal of combinatorics, Tome 22 (2015) no. 3
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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.
DOI : 10.37236/4808
Classification : 05E05, 05E10, 20C30
Mots-clés : Littlewood-Richardson coefficients, Kronecker coefficients, plethysm coefficients, Kostka-Foulkes polynomials

Emmanuel Briand  1   ; Rosa Orellana  2   ; Mercedes Rosas  1

1 Universidad de Sevilla
2 Dartmouth College
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     title = {Rectangular symmetries for coefficients of symmetric functions},
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     year = {2015},
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Emmanuel Briand; Rosa Orellana; Mercedes Rosas. Rectangular symmetries for coefficients of symmetric functions. The electronic journal of combinatorics, Tome 22 (2015) no. 3. doi: 10.37236/4808

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