Singular Polynomials for the Symmetric Groups

@inproceedings{Dunkl2004SingularPF,
  title={Singular Polynomials for the Symmetric Groups},
  author={Charles F. Dunkl},
  year={2004}
}
For certain negative rational numbers 0, called singular values, and associated with the symmetric group SN on N objects, there exist homogeneous polynomials annihilated by each Dunkl operator when the parameter = 0. It was shown by the author, de Jeu and Opdam (Trans. Amer. Math. Soc. 346 (1994), 237-256) that the singular values are exactly the values m n with 2 n N , m = 1; 2; : : : and m n is not an integer. This paper constructs for each pair (m;n) satisfying these conditions an… CONTINUE READING

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