Generalised symmetries and bases for dunkl monogenics Ghent University
We introduce a family of commuting generalised symmetries of the Dunkl-Dirac operator inspired by the Maxwell construction in harmonic analysis. As an application, we use these generalised symmetries to construct bases of the polynomial null-solutions of the Dunkl-Dirac operator. These polynomial spaces form representation spaces of the Dunkl-Dirac symmetry algebra. For the 71d2 case, the results are compared with previous investigations.