• Corpus ID: 14713960

Vector valued Macdonald polynomials

  title={Vector valued Macdonald polynomials},
  author={Charles F. Dunkl and Jean-Gabriel Luque},
  journal={arXiv: Combinatorics},
This paper defines and investigates nonsymmetric Macdonald polynomials with values in an irreducible module of the Hecke algebra of type $A_{N-1}$. These polynomials appear as simultaneous eigenfunctions of Cherednik operators. Several objects and properties are analyzed, such as the canonical bilinear form which pairs polynomials with those arising from reciprocals of the original parameters, and the symmetrization of the Macdonald polynomials. The main tool of the study is the Yang-Baxter… 

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