Affine Demazure crystals for specialized nonsymmetric Macdonald polynomials

Free Action and Cyclic Sieving on Skew Semi-standard Young Tableaux

“…The previous corollary can then be applied to the following families of symmetric functions, whose Schur expansion can be proved by an explicit bijection ψ, and there is a type A crystal structure on the underlying combinatorial objects: Modified Hall-Littlewood symmetric functions, [6], type A and Stanley symmetric functions, [10], type C Stanley symmetric functions, [5], specialized non-symmetric Macdonald polynomials; see [2], and (some) dual k-Schur functions, [10].…”