A nonsymmetric generalization of the compositional Delta theorem is established via flagged LLT polynomials and nonsymmetric nabla and tau-star operators, with Weyl symmetrization recovering the symmetric case.
A combinatorial formula for nonsymmetric Mac- donald polynomials.American Journal of Mathematics,130(2):359–383, 2008
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The nonsymmetric compositional Delta theorem
A nonsymmetric generalization of the compositional Delta theorem is established via flagged LLT polynomials and nonsymmetric nabla and tau-star operators, with Weyl symmetrization recovering the symmetric case.