Combinatorial expansions for families of non-commutative k-Schur functions
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combinatorialexpansionsfamiliesfunctionsk-schurnon-commutativeaffinealgebra
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We apply down operators in the affine nilCoxeter algebra to yield explicit combinatorial expansions for certain families of non-commutative k-Schur functions. This yields a combinatorial interpretation for a new family of k-Littlewood-Richardson coefficients.
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