The down operator and expansions of near rectangular k-Schur functions
作者： Franco Saliola , Luis Serrano , Chris Berg
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摘要: We prove that the Lam-Shimozono "down operator" on affine Weyl group induces a derivation of Fomin-Stanley subalgebra nilCoxeter algebra. use this to verify conjecture Berg, Bergeron, Pon and Zabrocki describing expansion k-Schur functions "near rectangles" in Consequently, we obtain combinatorial interpretation corresponding k-Littlewood--Richardson coefficients.
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