Dunkl Operators for Arbitrary Finite Groups

摘要: The Dunkl operators associated to a necessarily finite Coxeter group acting on Euclidean space are generalized any using the techniques of non-commutative geometry, as introduced by authors view usual covariant derivatives in quantum principal bundle with connection. definitions and their corresponding connections bundles over spaces which possess classical structure group. We introduce cyclic operators. Then we establish number interesting properties these structures, including characteristic zero curvature property. Particular attention is given example complex reflection groups, naturally siblings called groups type.