7 citations · 7 across the 2 of their papers we have counts for
3 papers
math.RT2004★ 7 cited
Singular polynomials for the symmetric groups
Charles F. Dunkl
For certain negative rational numbers k, called singular values, and associated with the symmetric group S_N on N objects, there exist homogeneous polynomials annihilated by each D…
math.QA2003
Singular Polynomials for the Symmetric Group and Krawtchouk Polynomials
Charles F. Dunkl
A singular polynomial is one which is annihilated by all Dunkl operators for a certain parameter value. These polynomials were first studied by Dunkl, de Jeu and Opdam, (Trans. Ame…
math.RT2001
Dunkl operators for complex reflection groups
C. F. Dunkl, E. M. Opdam
Dunkl operators for complex reflection groups are defined in this paper. These commuting operators give rise to a parametrized family of deformations of the polynomial De Rham comp…