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.
Toric braids and (m, n)-parking functions.Duke Mathematical Journal,170(18):4123– 4169
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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.